Question

the area of a square drawn on the hypotenuse of a right angled isosceles triangle is 30 square cm . workout the areas of the squares drawn on each of the other two sides​

Answer 1

Answer:

Given: the area of a square drawn on the hypotenuse of a right angled isosceles triangle is 24 square cm

To find: the area of the square drawn on each of the other two sides

Solution:

Let the length of each of the isosceles sides be x cm

Since the given triangle is right angled, we can write

x² + x² = 24 [ using Pythagorean theorem ]

or, 2x² = 24

or, x² = 12

Answer: thus we conclude that the area of the square drawn on each of the other two sides is 12 square cm.

Step-by-step explanation:

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