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Isosceles Triangle — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSIsosceles Triangle3 Marks
Question
In the given figure :if $\angle PQS = 60^\circ $,show that $PQ = PS = QS = SR.$
✓

Answer

In $\triangle PQS,$
$\angle PQS = 60^\circ , \angle QPS = 60^\circ $ and $\angle QSP = 60^\circ $
$\Rightarrow \triangle PQS$ is an equilateral triangle
$\Rightarrow PQ = QS = PS$
And, $PS = SR$
$\Rightarrow PQ = PS = QS = SR.$

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