Question

Use what you know about similarity and proportions to solve for x in the triangles below. Show all work.

4
10
5
x + 5

Answer 1

Value of x = 7.5 unit

Length of side = 12.5 unit

Explanation:

Given that both triangles are similar because all angles are equal;

So, the ratio of similar lines is in the same proportion.

[x + 5] / 5 = 10 / 4

4[x + 5] = 50

4x + 20 = 50

4x = 50 - 20

4x = 30

x = 30 / 4

x = 7.5

So,

Value of x = 7.5 unit

Length of side = x + 5

Length of side = 7.5 + 5

Length of side = 12.5 unit