A triangle $P Q R$ can be constructed, when $m ∠ Q = 90^{o},$ $Q R = 7 c m$ and $P R = 9 c m$ using the _________ criterion.

$S A S$

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$R H S$

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Solution

The correct option is B
$R H S$

Here, In the triangle $P Q R$
$m ∠ Q = 90^{o},$ (Right-angled at $∠ Q$ )
$Q R = 7 c m$ ( one side of the triangle)
$P R = 9 c m$ (Hypotenuse of the triangle)
we can construct a right-angled triangle if the hypotenuse and one side of the triangle are given.
Hence, A triangle $P Q R$ can be constructed by $R H S$

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