Question

what values of a and b make △ghi ≅ △prq?
a =
b =

Explanation:

Step1: Use corresponding sides of congruent triangles

Since \(\triangle GHI\cong\triangle PRQ\), the corresponding sides are equal.
For the sides \(5a\) and \(45\), we have \(5a = 45\).

Step2: Solve for \(a\)

Divide both sides of \(5a = 45\) by \(5\): \(a=\frac{45}{5}=9\).

Step3: Use the other pair of corresponding sides

For the sides \(15\) and \(3b\), we have \(3b = 15\).

Step4: Solve for \(b\)

Divide both sides of \(3b = 15\) by \(3\): \(b=\frac{15}{3}=5\).

Answer:

\(a = 9\), \(b = 5\)