Question

The diagram shows the lengths of corresponding sides of similar triangles A'B'C' and ABC. Which expression gives the perimeter of A'B'C'?

Options:
a) 4(4 + b + c)
b) 2(a + b + c)
c) 4(a + b + c)
d) 8(a + b + c)

Answer 1

B for Plato / Edmentum

2(a + b + c)

:)

Answer 2

The correct answer option is b) 2(a + b + c).

Explanation:

We are given two similar triangles A'B'C' and ABC with the lengths of their corresponding sides.

From the diagram, we can see that side a = 4 in triangle ABC while its corresponding side is 8 which means that triangle A'B'C' is twice the size of ABC.

So we can write the following expression for the perimeter of A'B'C':

2(a + b + c)