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Question

Area of triangle PQR is $$100\, cm^2$$ (Fig ). If altitude QT is $$10\, cm$$, then its base PR is.

A
$$ 20 \,cm$$
B
$$ 15 \,cm$$
C
$$5 \,cm$$
D
$$ 10 \,cm$$
Solution
Verified by Toppr

Correct option is A. $$ 20 \,cm$$
Option (a) is correct.
Give, area of triangle $$PQR =100\, cm^2$$.
We know drat Area of triangle $$PQR \times \dfrac {1}{2} PR \times QT$$

$$ \Rightarrow 100 = \dfrac {1}{2} \times PR \times 10$$

$$ \Rightarrow PR =\dfrac {100\times 2}{10}$$

$$ \Rightarrow PR = 20\, cm$$

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