Question

What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 15 and 10?

Answer 1

`sqrt 325` ≈ 18.03 (2 decimal places )

Explanation:

In this question we are making use of Pythagoras' Theorem which states that' in a right angled triangle the square on the hypotenuse is equal to the sum of the squares on the 2 adjacent sides'

if c = hypotenuse and a and b represent the lengths of the other 2 sides:
then `c^2 = a ^2 + b^2`

hence `c = sqrt (a^2 + b^2 )`

In this question let a = 15 and b = 10

so hypotenuse = `sqrt ((15^2 + 10)^2)`

`= sqrt (225 + 100`

`= sqrt 325` ≈ 18.03 ( 2 decimal places )