Question

identifying a leg length
what is the length of \\(\overline{pr}\\)?
\\(\square\\) units
triangle pqr with pq as the base, pr labeled 5n, qr labeled 32 + n, and angles at p and q marked equal (isosceles triangle).

Explanation:

Step1: Identify equal sides

Angles at P and Q are equal, so PR = QR.

Step2: Set up equation

$5n = 32 + n$

Step3: Solve for n

Subtract n: $4n = 32$ → $n = 8$

Step4: Calculate PR

$PR = 5n = 5×8 = 40$

Answer:

40