Thread: Solve

1. Find the hypotenuse of a right triangle with sides 5 inches and 10 inches.

2. If one side of a right triangle is 12 and it's hypotenuse
is 13, what is the length of the other side?

3. One eighth of the square root of 7 less than a number is 2. What is the number?

Please help me to figure this out. Thanks.

Originally Posted by poeticprincess

1. Find the hypotenuse of a right triangle with sides 5 inches and 10 inches.

Hello,

use Pythagorean theorem: a² + b² = c² with c as hypotenuse:

5² + 10² = 125 = c² ==> c = 5 sqrt(5)

Originally Posted by poeticprincess

2. If one side of a right triangle is 12 and it's hypotenuse
is 13, what is the length of the other side?

Same method as above:

13² = 12² + b² ==> b² = 169 - 144 = 25 ==> b = 5

Originally Posted by poeticprincess

3. One eighth of the square root of 7 less than a number is 2. What is the number?

Please help me to figure this out. Thanks.

x is the number you are looking for:

(1/8) sqrt(7) - x = 2 ==> x = (1/8)sqrt(7) - 2 ≈ -1.66928...

Thanks a lot earboth!

Originally Posted by poeticprincess

Signature: Your best friends are going to hurt you every once in a while, you must forgive them for that. Never let your friendship die because of a lie or a fight; always tell the truth and work things out. Solid friendship takes a lot of time and hard work to build but it can be demolished faster than you can apologize. Forgive your friends. Forgetting may take some time but soon your bad memories will be covered with many new and wonderful memories.

thanks for the advice