Question

In a right angled triangle the hypotenuse is twice as long as one of the right side forming the right angle. The remaining side is 80mm long. Find the length of the hypotenuse?

Answer 1

Length of the hypotenuse = 92.38 mm

Explanation:

Let one side of the right angled triangle (p) = x mm
Hypotenuse(h) = 2x
Length of the remaining side(b) = 80 mm
We know,
or, h^2 = b^2 + p^2
or, (2x)^2 = 80^2 + x^2
or, 4x^2 = 6400 + x^2
or, 4x^2 - x^2 = 6400
or, 3x^2 = 6400
or, x^2 = 6400/3
= 2133.333
or x = √ 2133.33
= 46.19
Hence the hypotenuse = 2x = 2 X 46.19 = 92.38 mm