Are the given triangles congruent? Explain why or why not.

If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent by

Find the value of x, y and z

M ∠ A = (4x + 3)° and m ∠ B = (5x + 6)°
Find the value of x if the angles A and B are
II) Supplementary

The C.S.A. and T.S.A. of cylinder are in the ratio 1:2. If the T.S.A of the right cylinder is 616 sq. cm, then find its volume?

M ∠ A = (4x + 3)° and m ∠ B = (5x + 6)°
Find the value of x if the angles A and B are
I) Complementary

Simplify using the laws of exponents:

If   and  , what is one possible value of   ?

Note:
This problem can have different answers if solved differently. Instead of making   positive, if we took  , we would get a different answer. Similarly,  for  , we get a different value of  . If we take both negative, we will get another answer.
Thus, we can get 4 answers: 1,3, 4, 12.

In △ ABC,  AB = x and BC = x + 1 . How many possible values are there for x if the perimeter of △ ABC is 14?

A park has the shape of an isosceles triangle. Its sides are x − 1 and x − 2 . The length of its compound is 44 units. Find the possible values of x

A triangular tiffin box is to be designed such that the measure of all angles is equal. What should be the measure of each angle?

Find the mistake in the given image

State whether the lines y = x + 2, y = − x + 3 and y − x = 1 form a triangle or not. Explain
why or why not.

A pillar 14 cm in diameter is 5 m high. How much material was used to construct it?

Simplify using the laws of exponents: Find x so that 

The measures of the angles of a triangle are .
Find the measure of each angle and classify the triangle by its angles.