Question

In the diagram, △ABC ≅ △WRS. What is the perimeter of △WRS?

10 units
11 units
12 units
13 units

Answer 1

The Answer Is 12

Explanation:

Answer 2

Answer: Third option is correct.

Explanation:

Since we have given that

△ABC ≅ △WRS

So, Perimeter of △ABC is given by

AB+BC+CA

here, AB = 3 units

BC = 4 units

AC = x

By pythagorus theorem, we get that

`AC^2=AB^2+BC^2\\\\x^2=3^2+4^2\\\\x^2=9+16\\\\x^2=25\\\\x=√(25)\\\\x=5\ units`

So, perimeter of △ABC is

3+4+5=12 units

So, the perimeter of △WRS is also 12 units as they are similar triangles .

Hence, Third option is correct.