Word problem help!!!!!!!!

[avlgem]

I need help with this word problem


the exact length of the side of a square which has a diagonal of 12 feet?

 

[BigGlenntheHeavy]

Ever hear of the Pythagorean Theorem?

 

[avlgem]

Yes, i have. I posted the wrong problem.haha The one I need help with is


The hypotenuse of a right triangle measures 30 inches and one leg measures 15 inches. Find the measure of the other leg.
A)give its length in simplified radical form
B) round the answer to the nearest thousandth

 

[Denis]

Same question as BigGlenn: Ever hear of the Pythagorean Theorem?

If your answer is still yes, then use it.

 

[for]

\(\displaystyle 15^2+b^2=30^2...\)
solve for b

 

[lookagain]

\(\displaystyle 15^2+b^2=30^2...\)
solve for b

\(\displaystyle A)\)

Continuing with one of the options of solving:

\(\displaystyle b^2 = 30^2 - 15^2\)

\(\displaystyle b^2 = 15^2(2^2 - 1)\)

\(\displaystyle b^2 = 15^2(3)\)

\(\displaystyle b = \sqrt{15^2(3)}\)

\(\displaystyle b = 5\sqrt{3}\)


\(\displaystyle \boxed{5\sqrt{3} \ \text{ inches}}}\)