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

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: