Question 90
In a triangle, the length of the side opposite the angle which measures 45° is 16 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 = 16 cm
Let length of hypotenuse = $$h$$ cm
=> $$h^2 = (16)^2 + (16)^2$$
=> $$h = \sqrt{2 \times (16)^2}$$
=> $$h = 16 \sqrt{2}$$ cm
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