Class 9

Heron’s Formula question bank (Maths)

Practice 135 free Class 9 Maths - Heron’s Formula questions with answers and step-by-step solutions.

Q1.

Find the area of a triangle,two sides of which are $8 \, cm$ and $11 \, cm$ and the perimeter is $32 \, cm$.

figure

(A)
$8 \sqrt{30} \, cm^2$
(B)
$7 \sqrt{30} \, cm^2$
(C)
$6 \sqrt{30} \, cm^2$
(D)
$5 \sqrt{30} \, cm^2$
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Q2.

$A$ triangular park $ABC$ has sides $120\,m, 80\,m$ and $50\,m$ (see Fig.). $A$ gardener Dhania has to put a fence all around it and also plant grass inside. How much area does she need to plant? Find the cost of fencing it with barbed wire at the rate of $Rs. 20$ per metre leaving a space $3\,m$ wide for a gate on one side.

figure

(A)
$Rs. 5640$
(B)
$Rs. 4940$
(C)
$Rs. 4922$
(D)
$Rs. 4850$
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