Question

39HF36/15GFind the value of I. Write the answer as a fraction in simplest form or a decimal rounded to the nearesthundredth.

Answer 1

`x=(180)/(13)=13.85`

Step by step explanation:

We can solve this situation by using proportions for similar right triangles:

`\frac{\text{shorter leg in EGF}}{\text{shorter leg in EHG}}=\frac{\text{hypotenuse in EGF}}{\text{hypotenuse in EHG}}`

Substitute and solve for x:

`\begin{gathered} (15)/(x)=(39)/(36) \\ 36\cdot15=39x \\ 540=39x \\ x=(540)/(39) \\ x=(180)/(13)=13.85 \end{gathered}`