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

Answer:

5.3

Step-by-step 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)