A quadrilateral has area $84 ext{ cm}^{2}$. One diagonal is $14$ cm. If one of the perpendiculars from a vertex to this diagonal is $5$ cm, find the other perpendicular.

Question

A quadrilateral has area $84 	ext{ cm}^{2}$. One diagonal is $14$ cm. If one of the perpendiculars from a vertex to this diagonal is $5$ cm, find the other perpendicular.

Aicharya · Accepted Answer

$\dfrac{1}{2}	imes 14 (5 + h_{2}) = 84 \Rightarrow 7(5+h_{2}) = 84 \Rightarrow 5+h_{2} = 12 \Rightarrow h_{2} = 7$ cm.

A quadrilateral has area $84 \text{ cm}^{2}$. One diagonal is $14$ cm. If one of the perpendiculars from a…

Solution