SOLUTION: The hypotenuse of a right triangle is 2.8 units long. The longer leg is 1.6 units longer than the shorter leg. Find the lengths of the sides of the triangle.
Algebra ->
Human-and-algebraic-language
-> SOLUTION: The hypotenuse of a right triangle is 2.8 units long. The longer leg is 1.6 units longer than the shorter leg. Find the lengths of the sides of the triangle.
Log On
Question 86767: The hypotenuse of a right triangle is 2.8 units long. The longer leg is 1.6 units longer than the shorter leg. Find the lengths of the sides of the triangle. Answer by checkley75(3666) (Show Source):
You can put this solution on YOUR website! 2.8^2=X^2+(X+1.6)^2
7.84=X^2+X^2+3.2X+2.56
2X^2+3.2X+2.56-7.84=0
2X^2+3.2X-5.28=0
2(X^2+1.6X-2.64)=0
USING THE QUADRATIC EQUATION WE GET
X=(-1.6+-SQRT[1.6^2-4*1*-2.64])/281
X=(-1.6+-SQRT[2.56+10.56])/2
X=(-1.6+-SQRT13.12)/2
X=(-1.6+-3.622)/2
X=(-1.6+3.622)/2
X=2.022/2
X=1.011 ANSWER.
X=(-1.6-3.622)/2
X=-5.244/2
X=2.611 ANSWER.
(