The diagonal and the longer side of a rectangle

Ответ:

raeanparker

29.06.2021

Mathematics

The shorter side = 11.83 cm

Step-by-step 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,

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

$\tan 43.2^{\circ}=\frac{\text{Shorter side}}{12.6 }\\\\0.93906251=\frac{\text{Shorter side}}{12.6}\\\\ \text{Shorter side}=12.6\times 0.93906251\\\\=11.832187626\approx11.83\ cm$

Hence, the shorter side = 11.83 cm

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

side is 12.6c

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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.

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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.​

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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.