The area of a square drawn on the hypotenuse of a right angled isosceles triangle is 24 cm^2. Workout the areas of the square drawn on each of the other two sides.
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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.
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Step-by-step explanation:
other two side is 12 square cm.
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