SOLUTION: if X squared + Y squared = Z squared, and the ratio of x to y = 4:3, and z=40 what are the values of x & y in a right triangle ?

Algebra ->  Pythagorean-theorem -> SOLUTION: if X squared + Y squared = Z squared, and the ratio of x to y = 4:3, and z=40 what are the values of x & y in a right triangle ?      Log On


   

Question 925215: if X squared + Y squared = Z squared, and the ratio of x to y = 4:3, and z=40 what are the values of x & y in a right triangle ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
X%2FY=4%2F3
X=%284%2F3%29Y
X%5E2=%2816%2F9%29Y%5E2
Substituting,
%2816%2F9%29Y%5E2%2BY%5E2=40%5E2
%2825%2F9%29Y%5E2=1600
Y%5E2=576
Y=24
Then,
X=%284%2F3%2924
X=32