Mensuration Ques 5

Question

Directions : Study the following diagram to answer the questions.

If the diameter of each circle is $14 cm$ and $DC=CE$, the area of $\triangle BDE$ is

(1) 784 sq.cm

(2) 748 sq.cm

(3) 874 sq.cm

(4) 441 sq . cm

(5) None of these

Show Answer

Correct Answer: (1)

Solution: (1)

In $\triangle BDE$,

$DE=28+28=56 cm$ , $BC=28 cm$

$\Delta BDE=\frac{1}{2} \times DE \times h=\frac{1}{2} \times 56 \times 28=784 sq . cm$