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In the following figure, show that $ \triangle \mathrm{PSQ} $ is congruent to $ \triangle \mathrm{PSR} $.
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Given:


$PQ=6.5\ cm$, $PR=6.5\ cm$ and $\angle PSQ=\angle PSR=90^o$.

To do:


We have to show that \( \triangle \mathrm{PSQ} \) is congruent to \( \triangle \mathrm{PSR} \).

Solution:


In triangles PQS and PSR,

$PQ=PR$   (given)

$\angle PSQ=\angle PSR=90^o$

Therefore,

$PSQ$≅$PSR$   (By RHS congruency)

Hence proved.

Updated on: 10-Oct-2022

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