1. In a triangle, the length of the opposite side of the angle which measures 45° is 8√2 cm, what is the length of the side opposite to the angle which measures 90°?
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By: anil on 05 May 2019 02.12 am
In the given triangle, two angles are 90° and 45°, => Third angle = 45° => The given triangle is isosceles right angled triangle with measure of equal sides = 8√2 cm Let length of hypotenuse = $$h$$ cm => $$h^2 = (8sqrt{2})^2 + (8sqrt{2})^2$$ => $$h^2 = 128 + 128 = 256$$ => $$h = sqrt{256} = 16$$ cm
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