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, RQ. Angles smallest to largest are ∠MLN, ∠LNM, ∠NML.
Answer:
- Step by step explanation:
- Given:
In △LMN
LM = 9 units
MN = 4 units
NL = 11 units
- Step 1:
Arrange sides in increasing order.
In △LMN,
NL > LM > MN
- Step 2:
angle opposite to LM is ∠LNM.
side opposite to MN is ∠MLN.
side opposite to NL is ∠NML.
As,
NL > LM > MN
(We know that, in triangle, the angle opposite to longest side is largest.)
∴ ∠NML > ∠LNM > ∠MLN
Hence, in △RPQ,
angles smallest to largest are
∠MLN, ∠LNM, ∠NML
- Final Answer:
In △RPQ,
Sides shortest to longest are RQ, PR, RQ.
Angles smallest to largest are ∠MLN, ∠LNM, ∠NML.
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