Question

What is the length of the hypotenuse of the right triangle shown below? Type your answer as an integer. A right triangle has two sides of length 3 and 4.

Answer 1

5

Explanation:

This is the Pythagorean theorem:

`a^(2) +b^(2) =c^(2)`
The hypotenuse is c so we need to make c the subject:

`c = \sqrt{a^(2)+b^(2) }`
To do this I simply square rooted both sides.
Now we substitute values given to get the answer of the hypotenuse:

`c = \sqrt{3^(2) + 4^(2) }`

`c = √(9+16)`

`c = √(25)`
c=5
The lengths 3,4,5 of a triangle are known as a Pythagorean triple.
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².