Question

2 triangles are shown. The first triangle has side lengths 35, 20, and 20. The second triangle has side lengths x, 44, 44.

What value of x will make the triangles similar by the SSS similarity theorem?

15.9
59
77
96.8

Answer 1

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Explanation:

Answer 2

`x = 77`

Explanation:

Given

`First \to Second`

`35 \to x`

`20 \to 44`

`20 \to 44`

Required

Find x by SSS

Represent the triangle sides as a ratio

`35 : x = 20 : 44`

Express as fraction

`(x)/(35) = (44)/(20)`

Multiply by 35

`x = (44)/(20) * 35`

`x = (44 * 35)/(20)`

`x = (1540)/(20)`

`x = 77`