The area of a quadrilateral is $360 ext{ cm}^{2}$ and the lengths of the perpendiculars from the opposite vertices to a diagonal are $10$ cm and $14$ cm. Find the length of the diagonal.

Question

The area of a quadrilateral is $360 	ext{ cm}^{2}$ and the lengths of the perpendiculars from the opposite vertices to a diagonal are $10$ cm and $14$ cm. Find the length of the diagonal.

Aicharya · Accepted Answer

$\dfrac{1}{2} d (10+14) = 360 \Rightarrow 12 d = 360 \Rightarrow d = 30$ cm.

The area of a quadrilateral is $360 \text{ cm}^{2}$ and the lengths of the perpendiculars from the opposite…

Solution