PS bisects angle P. Arrange PQ,QS,SR in their descending order of their lengths. Please solve this
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SR > PQ > QS
Step-by-step explanation:
In triangle PQR
∠P + ∠Q + ∠R = 180
∠P = 180 - 60- 40
∠P = 80° ------ (1)
In Δ PQS
∠PSQ = 90°, ∠PQS= 60°
∠QPS = 180 - 90 - 60
∠QPS = 30°
∠RPS = 80 - 30 = 50°
Since ∠RPS = 50°
∠QPS = 30°
∠PRQ = 40°
⇒ ∠RPS > ∠PRQ > ∠PQS
⇒ SR > PQ > QS
This is the decending order of the lengths of PQ, QS, SR.
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