Question

What is the value of b? IT 3b b+52 Н G j b =

Answer 1

b=26

Explanation

Step 1

we have two equals triangles, because

$\begin{gathered} HG=GJ \\ \text{and} \\ GI\text{ is a common side for both triangles} \end{gathered}$

then, the hypotenuses are equal

$3b=b+52$

"is step 1 clear?

Step 2

solve the equation

$\begin{gathered} 3b=b+52 \\ \text{subtract b in both sides} \\ 3b-b=b+52-b \\ 2b=52 \\ \text{divide both sides by 2} \\ \frac{2b}{2}=\frac{52}{2} \\ b=26 \end{gathered}$