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Greatest Binomial Coefficients

p2+q2=r2 when...

Question

$p^{2} + q^{2} = r^{2}$ when $p = 5, q = 12$ and $r = 13$ .

True

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False

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Solution

The correct option is A True
We have $p^{2} + q^{2} = r^{2}$
Substituting the value $p = 5, q = 12$ and $r = 13$ in LHS and RHS, we have
$\begin{array}{rcl} L H S & \to & p^{2} + q^{2} = 5^{2} + 12^{2} \\ 25 + 144 \\ 169 \end{array}$
$\begin{array}{rcl} R H S & \to & r^{2} = 13^{2} \\ = & 169 \end{array}$
Since, $L H S = R H S$ .
Hence, given expression is true .

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