# 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?

##### 1 Answer

Nov 10, 2015

#### Answer:

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