Math, asked by sgarg12092000, 1 year ago

the length of each side of a rhombus is 8 cm and it's one angle is 60 degree then find the length of the diagonals of a rhombus​

Answers

Answered by TanikaWaddle
62

Given : side of rhombus = 8 cm

To find : length of diagonals

Explanation:

Here ,

∠A = 60°

∠C = 60°

now , in traingle AOB

using the trigonometric ratios

sin 30° = \frac{P}{H}

\frac{1}{2}= \frac{OB}{8}  \\\\OB = 4 cm

now , OB = OD = 4 cm

diagonal BD = 4+4 = 8 cm

similarly in triangle AOB

using the trigonometric ratios

\cos 30^\circ = \frac{B}{H}\\\\\frac{\sqrt{3} }{2}=\frac{AO}{8}\\\\AO = 4\sqrt{3}

THUS ,

diagonal AC = 8√3

hence , The diagonals are 8 cm and 8√3 cm

#Learn more :

https://brainly.in/question/12418113

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Answered by snehalgupta780
29

Answer:

This is your answer....

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