Question

The diagonal and the longer side of a rectangle make an angle of 43.2°. If the longer

side is 12.6cm. Find the length of the shorter Side.​

Answer 1

Answer: The shorter side = 11.83 cm

Explanation:

The diagonal of a rectangle creates a right triangle with its adjacent sides.

Given: The diagonal and the longer side of a rectangle make an angle of 43.2°. If the longer side is 12.6cm.

According to trigonometry,

`\tan x=\frac{\text{Side opposite to x}}{\text{Side adjacent to x}}`

`\tan 43.2^(\circ)=\frac{\text{Shorter side}}{12.6 }\\\\0.93906251=\frac{\text{Shorter side}}{12.6}\\\\ \text{Shorter side}=12.6* 0.93906251\\\\=11.832187626\approx11.83\ cm`

Hence, the shorter side = 11.83 cm