Given a right triangle, one leg is 6 cm and the hypotenuse is 10 cm. Use the Pythagorean theorem to find the length of the other leg.

Please show ll work in order please dont explain I dont have time i have to turn it in i will give you a medal thanks!!!!

Question

Given a right triangle, one leg is 6 cm and the hypotenuse is 10 cm. Use the Pythagorean theorem to find the length of the other leg.

 Please show ll work in order please dont explain I dont have time i have to turn it in i will give you a medal thanks!!!!

whpalmer4 · Answer

|dw:1392842959918:dw|

Pythagorean theorem says that in a right triangle, the sum of the squares of the lengths of the two legs equals the square of the length of the hypotenuse:

$$a^2+b^2=c^2$$if you've labeled your triangle like I did.

We know $a = 6$ and $c = 10$ so we can write$$6^2+b^2=10^2$$$$36+b^2=100$$Now just solve for $b$.  Subtract 36 from both sides, and take the square root of both sides to find the value of $b$.

whpalmer4 · Answer

it's far more important that you learn the concepts than that you get this problem turned in on time.

anonymous · Answer

i need to turn it in or i will fail

whpalmer4 · Answer

Well, you'll probably fail sooner or later if you don't learn it.  In any case, I laid out the steps for you.