Question

The legs of a right triangle are 5 units and 15 units. What is the length of the hypotenuse

Answer 1

Answer:

The lenght of the hypotenuse is $\sqrt{250}$ units or $15.811$ units.

Step-by-step explanation:

We are going to use the Pythagorean theorem to solve this.

The Pythagorean theorem states that given a right triangle in which ''a'' and ''b'' are the length of the legs and ''c'' is the length of the hypotenuse, this three lengths satisfy the following equation :

$a^{2}+b^{2}=c^{2}$

To find the length of the hypotenuse in this exercise, we need to replace the values $a=5units$ and $b=15units$ in the equation and then find the value of c that satisfy it ⇒

$(5units)^{2}+(15units)^{2}=c^{2}$

$25(units)^{2}+225(units)^{2}=c^{2}$

$250(units)^{2}=c^{2}$

Given that $c>0$ ⇒

$c=\sqrt{250(units)^{2}}$

$c=\sqrt{250}units$

or $c=15.811units$

Answer 2

To find the length of a hypotenuse, we use the Pythagoras Theorem.
$a^2 + b^2 = c^2$
Where we know the side lengths (A , B)
$5^2 + 15^2 = c^2$
And c is the hypotenuse length :)