the diagonal of a square is 16cm. find length of its side
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Answered by
44
given the length of the diagonal of the square = 16cm
by Pythagoras theorem we get,
diagonal² = side² + side² (it can be applied only for square. here diagonal is the hypotenuse and sides are the base and perpendicular respectively)
➡ 16² = 2side²
➡ 256 = 2side²
➡ 256/2 = side²
➡ 128 = side²
➡ side = √128cm or 11.3cm (approximately)
Answered by
36
Diagonal of square = √2a² = 16 cm.
=>2a²=256 cm²
=>a²=128 cm²
Hence,a=√128 cm.
=>a=8√2 cm.
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=>2a²=256 cm²
=>a²=128 cm²
Hence,a=√128 cm.
=>a=8√2 cm.
...Here is your answer.Follow my account for more instant answers.
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