Question 93

In a triangle the length of the side opposite the angle which measures 45° is 8 cm, what is the length of the side opposite to the angle which measures 90°?

Solution

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 cm

Let length of hypotenuse = $$h$$ cm

=> $$h^2 = (8)^2 + (8)^2$$

=> $$h = \sqrt{2 \times (8)^2}$$

=> $$h = 8 \sqrt{2}$$ cm

=> Ans - (A)

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