Question

If the lengths of the legs of a right triangle are 5 and 12, what is the length of the hypotenuse?

Answer 1

Answer:

The length of the hypotenuse is 13.

Step-by-step explanation:

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

$a^2 = 12^2 + 5^2$

$a^2 = 144 + 25$

$a^2 = 169$

a=$\sqrt{169}$

a= 13

Here we use the idea of the Pythagoras' theorem. Which suggests that $a^{2}$ = $b^2 + c^2$ in which  $a^{2}$ is the hypotenuse of the triangle and $b^2$ and $c^{2}$ are the two other lengths of the triangle.

HOPE THIS HELPED

Answer 2

Answer:

13

Step-by-step explanation:

If we have a right triangle, we can use the Pythagorean theorem to find the hypotenuse

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = c^2

25+144= c^2

169 = c^2

Take the square root of each side

sqrt(169) = sqrt(c^2)

13= c