b=26
Explanation
Step 1
we have two equals triangles, because
[tex]\begin{gathered} HG=GJ \\ \text{and} \\ GI\text{ is a common side for both triangles} \end{gathered}[/tex]
then, the hypotenuses are equal
[tex]3b=b+52[/tex]
"is step 1 clear?
Step 2
solve the equation
[tex]\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}[/tex]
