Question
List the sides and the angles in order from smallest to largest.
Hint:
- In triangle, the angle opposite to largest side is largest.
- In triangle, the side opposite to largest angle is largest.
The correct answer is: In △RPQ, Sides shortest to longest are RQ, PR, PQ. Angles smallest to largest are ∠RPQ,∠PQR, ∠PRQ.
Answer:
- Step by step explanation:
- Given:
In △RPQ
∠PRQ = 73o
∠RPQ = 42o
∠PQR = 65o
- Step 1:
Arrange angles in increasing order.
In △RPQ,
∠PRQ > ∠PQR > ∠RPQ
- Step 2:
side opposite to ∠PRQ is PQ.
side opposite to ∠PQR is PR.
side opposite to RPQ is RQ.
As,
∠PRQ > ∠PQR > ∠RPQ
(We know that, in triangle, the side opposite to largest angle is largest.)
∴ PQ > PR > RQ
Hence, in △RPQ,
Sides shortest to largest are
RQ, PR, PQ
- Final Answer:
In △RPQ,
Sides shortest to longest are RQ, PR, PQ.
Angles smallest to largest are ∠RPQ,∠PQR, ∠PRQ.
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