Chapter 11.4, Problem 3PSA

To determine

To calculate: The length of shorter diagonal

Answer to Problem 3PSA

Length of shorter diagonal is $5$ units.

Explanation of Solution

Given information :

Area of kite is ( A ) = 20

The longer diagonal of kite ( $d_1$ )= 8

Formula used :

Area of kite = $\frac{1}{2}\times d_1\times d_2$

(where $d_1$ and $d_2$ are diagonals of the kite)

Calculation: Area = $\frac{1}{2}\times d_1\times d_2$

  $\begin{array}{l}\Rightarrow 20=\frac{1}{2}\times 8\times d_2\\ \Rightarrow 20=4\times d_2\\ \Rightarrow d_2=\frac{20}{4}\\ \Rightarrow d_2=5\end{array}$