Question

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

Answer 1

b=26

Step-by-step 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} \\ (2b)/(2)=(52)/(2) \\ b=26 \end{gathered}`