Question

The square of the hypotenuse of an isosceles right triangle is 200cm. Find the length of each side.​

Answer 1

Given that Square of hypotenuse of an isosceles right triangle is 200 sq.cm.

An isosceles triangle has two equal side lengths.

Let the length of a leg is 'x'.

⇒ x^2 + x^2 = 200

⇒ 2x^2 = 200

⇒ x^2 = 100

⇒ x = √100

⇒ x = 10

Therefore, length = 10 sq.cm

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Answer 2

Answer:

the other sides are 10cm each

Step-by-step explanation:

H square = P square + B square

as we know it is an isosceles right angle triangle

let P = B

so,

200 = P square + B square

200 = 2 P square

100 = P square

10 = P, B