Question

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

Answer 1

13

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

Answer 2

The length of the hypotenuse is 13.

Explanation:

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

`a^2 = 12^2 + 5^2`

`a^2 = 144 + 25`

`a^2 = 169`

a=
`√(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