Right triangle s1milarities.

Question

The question state that find the value of x if each pair of triangles is similar

Answer 1

Corresponding sides of both triangles are 5 and 25 so the sides of the second triangle are 5 times as big as the first triangle, i.e. a scale factor of 1:5 for going from the 1st triangle to the 2nd triangle.

For similar triangle corresponding sides of the triangle maintain the same scale factor.

Therefore, the side of the second triangle (x) corresponding to the side equal to 10 of the first triangle is 50 ft.