SOLUTION: I need to find the perimeter of a right triangle that has a height of 9 and hypotenuse of 15. Please advise. Thank you.

Algebra.Com
Question 279400: I need to find the perimeter of a right triangle that has a height of 9 and hypotenuse of 15. Please advise. Thank you.
Found 2 solutions by richwmiller, Edwin McCravy:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Not hypertense but hypotenuse
A triangle has three sides. We know two of them.
How do we find the third side of a right triangle?
a^2+b^2+c^2
where c is the hypotenuse and a and b are the legs.
a+b+c=perimeter
so first we need to find the missing side.
a^2+9^2=15^2
a^2+81=225
a^2=144
a=12
We could also have deduced the third side since this is a multiple of the classic triplet right triangle 3, 4,5
3*3=9
3*4=12
3*5=15
So now you have the three sides.
You still need to add them together to get the perimeter
a+b+c=perimeter
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


We need to find x by the Pythagorean theorem:

(bottom leg)2 + (right leg)2 = (hypotenuse)2

                     x2 + 92 = 152

                     x2 + 81 = 225

                          x2 = 225 - 81

                          x2 = 144

                           x = 12

So the perimeter is 15 + 9 + 12 = 36  

Edwin
RELATED QUESTIONS

i need to find the perimeter of a right triangle with the base of X+2 the height is X+9... (answered by Menjax)
A right triangle has a perimeter of 36 meters, a hypotenuse of 15 meters, and a leg of 9... (answered by jorel1380)
I have a problem that shows a right triangle with the hypotenuse and base bisected by a... (answered by MORUPHOSUOLALE)
An isoscles right triangle has a perimeter of 25 inches, what is the length of the... (answered by unlockmath)
Can someone please tell me what are the following formulas for: 1.) the hypotenuse of a... (answered by stanbon)
Hi I am having trouble with a problem. I need to find x in a right triangle. The base is... (answered by josgarithmetic)
hello I need help with my triangle and how to solve it.. The right-angled triangle in the (answered by ewatrrr)
I need to find the area of a right triangle with legs having a proportion of 8:15 and the (answered by ikleyn,MathTherapy)
Calculate the perimeter of the square if a right triangle has legs a=9, b=17, and... (answered by josgarithmetic,ikleyn)