SOLUTION: The hypotenuse of a right angle triangle is 3 meters longer than twice the length of one of the legs. The measure of the other leg is 12 meters. Find the measure of the hypotenuse

Question 100964: The hypotenuse of a right angle triangle is 3 meters longer than twice the length of one of the legs. The measure of the other leg is 12 meters. Find the measure of the hypotenuse of the triangle.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
a=12
c=2b+3
a^2+b^2=c^2
12^2+b^2=(2b+3)^2
144+b^2=4b^2+12b+9 expand.
3b^2+12b-135=0 subtract b+144 from both sides.
3(b-5)(b+9)=0 Factor.
b=5, b=-9
b=5 is the only possible answer because the leg must be positive.
c=2b+3=2*5+3= 13 meters Ans.
Check:
144+25=169
Ed
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