Question

which is the longer side, QM or QR if LM>LR and angle LMQ =angle LRQ
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Answer 1

Answer:

QM is greater.

Explanation:

Construction- Join MR.

Solution- In triangle LMR,

LM>LR

Angle LRM>angle LMR(Greater side opp. greater angle).

angle LRQ+angle QRM >angle LMQ+angle QMR

angle LRQ+ QRM>LRQ+QMR(angle LMQ=angle LRQ)

angle QRM>angle QMR

QM>QR(Greater ang. opp. greater side).

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