The legs of the right triangle are 2 and 4. Find the length of the hypotenuse.
Mathematics · College · Tue Nov 03 2020
llm
Answered on
In finding the Hypotenuse, we need to use Pythagorean theorem, c = √(a² + b²),
Since 2 and 4 are the legs of the right triangle, substitute 2 and 4 to a and b in the formula c = √(a² + b²).
Here is the step by step solution.
> c = √(a² + b²)
> c = √(2² + 4²)
> c = √(4 + 16)
> c = √20
> c = √2²⋅5
> c = 2√⋅5 or 4.47….
The hypotenuse is 2√⋅5 or 4.47….