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

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio $fraction numerator B C over denominator A B end fraction$ ?

$\frac{D E}{D F}$
$\frac{D F}{D E}$
$\frac{D F}{E F}$
$\frac{E F}{D E}$

hint Hint:

When all corresponding angles of two triangles are the same, then by the property, both triangles are said to be similar.

We two triangles are similar, then the ratio of their corresponding sides is equal.

The correct answer is: $fraction numerator E F over denominator D E end fraction$

Explanation:

We have given two triangles $angle A B C comma angle D E F$ with two angles each of them

We have to find the ratio $fraction numerator B C over denominator A B end fraction$ .

We will first check whether the two given triangles are similar or not, and then find the ratio $fraction numerator B C over denominator A B end fraction$ .

Step 1 of 2:
$ln space angle A B C$
$straight angle A C B equals 90 to the power of ring operator$
$straight angle B A C equals 32 to the power of ring operator$
Now we know that the sum of all angles are $180 to the power of ring operator$ .
So,
$90 to the power of ring operator plus 32 to the power of ring operator plus straight angle A B C equals 180 to the power of ring operator$
$122 to the power of ring operator plus straight angle A B C equals 180 to the power of ring operator$
$straight angle A B C equals 58 to the power of ring operator$
Similarly,
$text In ∠ end text D E F$
$90 to the power of ring operator plus 58 to the power of ring operator plus straight angle D E F equals 180 to the power of ring operator$
$148 to the power of ring operator plus straight angle D E F equals 180 to the power of ring operator$
$straight angle D E F equals 32 to the power of ring operator$
Step 2 of 2:
We can see that all angles of both the triangle are same
So,
$angle D E F angle A B C$
So
$fraction numerator B C over denominator A B end fraction equals fraction numerator E F over denominator D E end fraction$
So, Option (D) is correct.

Related Questions to study

Solve each inequality and tell whether it has infinitely many or no solution:
-2x-5≥3x-25

Solve each inequality and tell whether it has infinitely many or no solution:
-2x-5≥3x-25

Solve each inequality and tell whether it has infinitely many or no solution:
7.2x+6≤2.4x

Solve each inequality and tell whether it has infinitely many or no solution:
7.2x+6≤2.4x

Solve each inequality and tell whether it has infinitely many or no solution:
4(3-2x)≥-4

Solve each inequality and tell whether it has infinitely many or no solution:
4(3-2x)≥-4

parallel

Solve each inequality and tell whether it has infinitely many or no solution:
-2(2x+1)<24

Solve each inequality and tell whether it has infinitely many or no solution:
-2(2x+1)<24

Solve each inequality and tell whether it has infinitely many or no solution:
$0.25 x plus 3 minus fraction numerator 7 x over denominator 8 end fraction less than negative 2$

Solve each inequality and tell whether it has infinitely many or no solution:
$0.25 x plus 3 minus fraction numerator 7 x over denominator 8 end fraction less than negative 2$

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?

parallel

$negative x plus y equals negative 3.5$
$x plus 3 y equals 9.5$
If (x, y) satisfies the system of equations above, what is the value of y ?

$negative x plus y equals negative 3.5$
$x plus 3 y equals 9.5$
If (x, y) satisfies the system of equations above, what is the value of y ?

Solve each inequality and tell whether it has infinitely many or no solution:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

Note:
You can solve any linear inequality by graphing them.

Solve each inequality and tell whether it has infinitely many or no solution:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

Note:
You can solve any linear inequality by graphing them.

Which of the following equations relates y to x for the values in the table above?

Which of the following equations relates y to x for the values in the table above?

parallel

Solve each inequality and graph the solution:
-2(x-5)≥-3x-14

Solve each inequality and graph the solution:
-2(x-5)≥-3x-14

The table above shows the population of Greenleaf, Idaho, for the years 2000 and 2010 . If the relationship between population and year is linear, which of the following functions p models the population of Greenleaf t years after 2000 ?

The table above shows the population of Greenleaf, Idaho, for the years 2000 and 2010 . If the relationship between population and year is linear, which of the following functions p models the population of Greenleaf t years after 2000 ?

Solve each inequality and graph the solution:
3x-24≤-2(2x-30)

Solve each inequality and graph the solution:
3x-24≤-2(2x-30)

parallel

The sum of $negative 2 x squared plus x plus 31$ and $3 x squared plus 7 x minus 8$ can be written in the form $a x squared plus b x plus c$ , where a, b, and c are constants. What is the value of a + b + c ?

The sum of $negative 2 x squared plus x plus 31$ and $3 x squared plus 7 x minus 8$ can be written in the form $a x squared plus b x plus c$ , where a, b, and c are constants. What is the value of a + b + c ?

Solve each inequality and graph the solution:
2(7x-2)>9x+6

Solve each inequality and graph the solution:
2(7x-2)>9x+6

How does a graph of system of equations with one solution differ from the graph of a system of equations with infinitely many solutions or no solution.

How does a graph of system of equations with one solution differ from the graph of a system of equations with infinitely many solutions or no solution.

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.