SOLUTION: 1. A right triangle has legs that measure 6 meters and 8 meters. Find the length of the hypotenuse. 2. The length of a rectangle is 3 meters longer than the width, and the diag

Algebra ->  Triangles -> SOLUTION: 1. A right triangle has legs that measure 6 meters and 8 meters. Find the length of the hypotenuse. 2. The length of a rectangle is 3 meters longer than the width, and the diag      Log On


   

Question 324692: 1. A right triangle has legs that measure 6 meters and 8 meters. Find the length of the hypotenuse.
2. The length of a rectangle is 3 meters longer than the width, and the diagonal measures 15 meters. What are the length and width?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
1. a%5E2%2Bb%5E2=c%5E2
a=6
b=8
6%5E2%2B8%5E2=c%5E2
36%2B64=c%5E2
100=c%5E2
10=c


2. l=3%2Bw
c=15
l%5E2%2Bw%5E2=c%5E2
%283%2Bw%29%5E2%2Bw%5E2=15%5E2
w%5E2%2B6w%2B9%2Bw%5E2=225
2w%5E2%2B6w%2B9=225
2w%5E2%2B6w-216=0
2%28w%5E2%2B3w-108%29=0 -9*12=-108 12-9=3
2%28w-9%29%28w%2B12%29%29=0
highlight%28w=9%29,cross%28-12%29
highlight%28l=12%29