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

Answer:

$x=\frac{180}{13}=13.85$

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:

$\begin{gathered} \frac{15}{x}=\frac{39}{36} \\ 36\cdot15=39x \\ 540=39x \\ x=\frac{540}{39} \\ x=\frac{180}{13}=13.85 \end{gathered}$