SOLUTION: In a right triangle, find the length of the side not given. Given an exact answer and an approximate to three decimal places. Assume C represent the length of the hypotenuse 6 & 8

Question 549819: In a right triangle, find the length of the side not given. Given an exact answer and an approximate to three decimal places. Assume C represent the length of the hypotenuse 6 & 8 = C
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming you have a triangle with legs of length 6 and 8.

We basically have this triangle set up:

To find the unknown length, we need to use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is where "a" and "b" are the legs of a triangle and "c" is the hypotenuse.

Since the legs are and this means that and

Also, since the hypotenuse is , this means that .

Start with the Pythagorean theorem.

Plug in , ,

Square to get .

Square to get .

Combine like terms.

Rearrange the equation.

Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).

Simplify the square root.

================================================================

Answer:

So the solution is .

So the missing side is 10 units long.
RELATED QUESTIONS
In the right triangle find the length of the side not given Give an exact answer and an... (answered by edjones)

In the right triangle find the length of the side not given. Give an exact answer and an... (answered by Jk22)

Hello, In the right triangle find the lenght of the side not given. Give an exact answer (answered by solver91311,mathmandotcom)

In a right triangle, find the length of the side not given. Give an exact answer and an... (answered by Alan3354)

In the right triangle, find the length of the side not given. Give an exact answer and an (answered by nerdybill)

In the right triangle, find the length of the side not given. Give an exact answer and an (answered by Fombitz)

In the length of the right angle,find the length of the side not given.Give an exact... (answered by jim_thompson5910)

I have a right triangle, and I'm trying to find the length of the side not given. Side A= (answered by stanbon)

In the right triangle, where a=4 and b=6, find the length of the side not given. what is... (answered by Alan3354,MRperkins)