Question

What is the value of x 2 similar right triangles

Answer 1

x = 6.2

Step-by-step explanation

In similar triangles, the ratio between corresponding sides is constant.

For the right triangle on the right we have the base = x and the hypotenuse = 9

For the big triangle, the one where the right angle is at the top, we have the base = 9 and the hypotenuse = 13:

`\begin{gathered} (b_1)/(h_1)=(b_2)/(h_2) \\ (x)/(9)=(9)/(13) \end{gathered}`

Solving for x:

`x=(9^2)/(13)\approx6.2`