. The two triangles P and P' shown below are similar. (a) If the area of triangle ABC is 135, then find the area of the second triangle DEF. (b) Find x.

Note: Question is not complete and picture of triangles is not shown. So, I have assumed different values and attached a picture of triangles in order to give you knowledge about area of triangles. Hope it may help.

a) Area of Triangle = 150

b) x = 10

Step-by-step explanation:

As, triangles are not shown in this question, let's assume we have two right angle triangles with different areas. They are similar as they lie in right angled triangle category. Please refer to the attachment for further understanding.

In the attachment, we have two right angled triangles. Triangle ABC and other triangle. I have given different values to their sides for your understanding.

a) Area of triangle ABC = 135, find the area of other triangle.

So, formula for area of triangle is:

Area of Triangle = 1/2 base x height.

Please refer to the attachment and take the values of the sides of second triangle and put into this formula to get the answer for part a.

So, we have:

Area of Triangle = 1/2 (15) x (20)

Area of Triangle = 1/2 (300)

Area of Triangle = 150, So this is the area of second triangle.

b) in part b we are asked to find x. as we are not given the pictures of the triangles so, we have assumed at it is base of the 1st triangle ABC.

Let's find x.

We know that, area of triangle ABC = 135

and formula for area of triangle = 1/2 base x height

and in this we just have to find value of base which is x.

Please refer to the attachment and take the value of height.

Here the value of height is 27

so,

Area of Triangle = 1/2 x base x Height

135 = 1/2 . x . 27

x = 10 = base.

Hope, this may help as the question was not complete I tried to teach you about the area of triangles.

d

step-by-step explanation: