Question

Square of hypotenuse of an isosceles right angle triangle is 242 square cm find the length of each other two sides of the triangle

Answer 1

Step-by-step explanation:

let each of the two sides of triangle be x.

By Pythagoras Theorem,

Side² + Side² = Hypo²

x² + x² = 242

(the hypo² is taken as 242, because according to the question it already the square of hypotenuse)

2x² = 242

x² = 121

x = 11

Therefore, the lenght of each of the two sides is 11cm.

Answer 2

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let the equal side x

Since it is a right angle triangle

x²+x²=hypotenuse²

2x²=242²

x=11cm

Hence, the equal side = 11cm

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