Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

In the figure, AB = AC, $angle A equals 48 to the power of ring operator end exponent$ and $angle A C D equals 18 to the power of ring operator end exponent$ Then

BC > CD
BC = CD
BC < CD
cannot decide

The correct answer is: BC = CD

We should find relation between BC and CD
Given, AB = AC
$∠ A B C = ∠ A C B = x$ (Isosceles triangle property)

In $△ A B C$
$∠ A B C + ∠ A C B + ∠ A B C = 180$ (Sum of angles of triangle)
$x + x + 48 = 180$
$2 x = 132$
$x = 6 6^{\circ}$

$∠ B C A = ∠ B C D + ∠ D C B = 66$
$∠ B C D = 66 - 18$
$∠ B C D = 4 8^{\circ}$

Now, In $△ B C D$
Sum of angles of triangle = 180
$∠ B C D + ∠ B D C + ∠ D B C = 180$
$48 + ∠ B D C + 66 = 180$
$∠ B D C = 6 6^{\circ}$
Since, $∠ B D C = ∠ D B C$
hence, $B D = C D$ (Isosceles triangle property)
Thus, $△ B D C$ is an isosceles triangle.

Hence BC=CD

Related Questions to study

In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of DABC Then x° + y° =

Hence x+y>180^o

In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of DABC Then x° + y° =

Hence x+y>180^o

In $triangle A B C comma text if end text angle A plus angle B equals 84 to the power of ring operator end exponent comma angle B plus angle C equals 146 to the power of ring operator end exponent$ then $angle B equals$

In $triangle A B C comma text if end text angle A plus angle B equals 84 to the power of ring operator end exponent comma angle B plus angle C equals 146 to the power of ring operator end exponent$ then $angle B equals$

The vectors $stack a with minus on top text and end text stack b with minus on top$ are mutually perpendicular then $stack a with minus on top cross times open curly brackets stack a with minus on top cross times open curly brackets stack a with minus on top cross times open parentheses stack a with minus on top cross times stack b with minus on top close parentheses close curly brackets close curly brackets equals$

The vectors $stack a with minus on top text and end text stack b with minus on top$ are mutually perpendicular then $stack a with minus on top cross times open curly brackets stack a with minus on top cross times open curly brackets stack a with minus on top cross times open parentheses stack a with minus on top cross times stack b with minus on top close parentheses close curly brackets close curly brackets equals$

parallel

If $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ be the three vectors such that $stack a with minus on top cross times stack b with minus on top equals stack c with minus on top text and end text stack b with bar on top cross times stack c with bar on top equals stack a with bar on top$ then

If $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ be the three vectors such that $stack a with minus on top cross times stack b with minus on top equals stack c with minus on top text and end text stack b with bar on top cross times stack c with bar on top equals stack a with bar on top$ then

If $stack a with minus on top equals stack i with minus on top plus stack j with minus on top plus stack k with minus on top comma stack b with minus on top equals stack i with minus on top minus stack j with minus on top plus stack k with minus on top$ then $stack i with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack i with minus on top close square brackets plus stack j with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack j with minus on top close square brackets plus stack k with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack k with minus on top close square brackets equals$

If $stack a with minus on top equals stack i with minus on top plus stack j with minus on top plus stack k with minus on top comma stack b with minus on top equals stack i with minus on top minus stack j with minus on top plus stack k with minus on top$ then $stack i with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack i with minus on top close square brackets plus stack j with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack j with minus on top close square brackets plus stack k with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack k with minus on top close square brackets equals$

If $a with minus on top to the power of blank comma b with minus on top to the power of blank comma c with rightwards arrow on top$ represents the reciprocal system of vectors of $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ then $Error converting from MathML to accessible text.$

If $a with minus on top to the power of blank comma b with minus on top to the power of blank comma c with rightwards arrow on top$ represents the reciprocal system of vectors of $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ then $Error converting from MathML to accessible text.$

parallel

The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement

The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement

physics-General

The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4s is

The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4s is

physics-General

A ball is thrown vertically upward. Ignoring the air resistance, which one of the following plot represents the velocity-time plot for the period ball remains in air?

A ball is thrown vertically upward. Ignoring the air resistance, which one of the following plot represents the velocity-time plot for the period ball remains in air?

physics-General

parallel

The velocity of a particle moving in a straight line varies with time in such a manner that $v blank v e r s u s blank t$ graph is velocity is $v subscript m end subscript$ and the total time of motion is $t subscript 0 end subscript$

i) Average velocity of the particle is $fraction numerator pi over denominator 4 end fraction v subscript m end subscript$
ii) such motion cannot be realized in practical terms

The velocity of a particle moving in a straight line varies with time in such a manner that $v blank v e r s u s blank t$ graph is velocity is $v subscript m end subscript$ and the total time of motion is $t subscript 0 end subscript$

i) Average velocity of the particle is $fraction numerator pi over denominator 4 end fraction v subscript m end subscript$
ii) such motion cannot be realized in practical terms

physics-General

Figure given shows the distance –time graph of the motion of a car. It follows from the graph that the car is

Figure given shows the distance –time graph of the motion of a car. It follows from the graph that the car is

physics-General

The displacement-time graphs of two moving particles make angles of $30 degree$ and $45 degree$ with the $x$ -axis. The ratio of the two velocities is

The displacement-time graphs of two moving particles make angles of $30 degree$ and $45 degree$ with the $x$ -axis. The ratio of the two velocities is

physics-General

parallel

An elevator is going up. The variation in the velocity of the elevator is as given in the graph. What is the height to which the elevator takes the passengers?

An elevator is going up. The variation in the velocity of the elevator is as given in the graph. What is the height to which the elevator takes the passengers?

physics-General

The variation of velocity of a particle with time moving along a straight line is illustrated in the following figure. The distance travelled by the particle in four seconds is

The variation of velocity of a particle with time moving along a straight line is illustrated in the following figure. The distance travelled by the particle in four seconds is

physics-General

The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane $9.8 blank m$ long (angle of inclination is $30 degree$ ) is

The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane $9.8 blank m$ long (angle of inclination is $30 degree$ ) is

physics-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.