Question

1. in △pqr, side pq = 10 cm, qr = 14 cm, and pr = 16 cm. which angle is the largest? a. ∠p b. ∠q c. ∠r d. all angles are equal

Explanation:

Step1: Recall triangle angle-side rule

In any triangle, the largest angle is opposite the longest side.

Step2: Identify the longest side

Compare side lengths: $PQ=10\ \text{cm}$, $QR=14\ \text{cm}$, $PR=16\ \text{cm}$. The longest side is $PR=16\ \text{cm}$.

Step3: Find angle opposite longest side

The side $PR$ is opposite $\angle Q$ in $\triangle PQR$.

Answer:

B. $\angle Q$