SOLUTION: The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side. Find the dimensions of the triangle.
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Question 382070: The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side. Find the dimensions of the triangle. Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! h=a+1
a=h-1
.
h=3b+4
3b=h-4
b=(h-4)/3
.
a^2+b^2=h^2
(h-1)^2+((h-4)/3)^2=h^2
h^2-2h+1+(h^2-8h+16)/9=h^2
9h^2-18h+9+h^2-8h+16=9h^2
h^2-26h+25=0
(h-25)(h-1)=0
h=25
a=24
b=7
.
Ed
