Question

If the hypotenuse of a right triangle is 8 and one leg is 6, what is the length of the other leg?

Answer 1

5.3

Explanation:

pythagorean theory :,)

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

the legs are
`a` and
`b`, while the hypotenuse (the longest side) is
`c`

fill in the equation with the information u have and simplify so

`a^(2) + 6^(2) = 8^(2)`

`a^(2) + 36 = 64`

now get the variable (
`a`) by itself

`a^(2) + 36 = 64\\`

(subtract 36 on both sides)

`a^(2) = 28`

`a = 5.3`

square root of both sides ≈ 5.3

(you could also multiply the square root of 7 by 2)