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 = 73^{o}

∠RPQ = 42^{o}

∠PQR = 65^{o}

- 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.

^{o}

^{o}

^{o}

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