Find the length of one of the legs of a right triangle if the hypotenuse has length 15 and the other leg has length 12.
2007-05-23 09:20:56 · 8 answers · asked by lo 1 in Science & Mathematics ➔ Mathematics
Use the pythagorean theorem:
(leg1)^2 + (leg2)^2 = (hypotenuse)^2
12^2 + leg2^2 = 15^2
144 + leg2^2 = 225
leg2^2 = 225 - 144
leg2^2 = 81
leg2 = sqrt(81)
leg2 = 9
2007-05-23 09:23:21 · answer #1 · answered by McFate 7 · 0⤊ 0⤋
9
If you have a right triangle the length of the hypotenuse squared = the sum of the squares of the sides . . . so
225(15^2) = 144(12^2) + x^2
2007-05-23 09:25:17 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Pythagorean theorem:
15 squared minus 12 squared = the answer squared
therefore:
225-144= 81
Answer= 9
2007-05-23 09:23:18 · answer #3 · answered by Lal 4 · 0⤊ 0⤋
the answer is 9.
You use pythagorean theorem. Leg squared x Leg squared= hypotenuse squared. Therefore it is 12 squared+ x squared = 15 squared. When reduced you get x squared = 81 and 9 is the square root of 81.
2007-05-23 09:25:03 · answer #4 · answered by cazdudet 5 · 0⤊ 0⤋
I believe it would be 9.
3 4 5 right triangles
multiply by 3
9 12 15
Im sorry if my expanation didnt make sense im horrible at explaining.
2007-05-23 09:24:48 · answer #5 · answered by babuprincess99 2 · 0⤊ 0⤋
The answer is 9.
a^2 + b2 = c^2
C^2 - b^2 = a^2
2007-05-23 09:25:47 · answer #6 · answered by Simpleofmind 4 · 0⤊ 0⤋
a^2+b^2=c^2
12^2+b^2=15^2
144+b^2=225
b^2=81
b=9
2007-05-23 09:24:25 · answer #7 · answered by kyeann 5 · 0⤊ 0⤋
Use pythagoras' theorum. im not doing ur h.w for you.
2007-05-23 09:23:40 · answer #8 · answered by barbedwireribbons 3 · 0⤊ 0⤋