The length of the hypotenuse of a right triangle is 3 less than 4 times the length of the shortest leg. The length of the other leg is 3 more than 3 times the length of the shortest leg. What are the lengths of all 3 sides?
My progress.
Let a represent the length of the shortest side. Let b represent the length of the second shortest side. let c represent the length of the hypotenuse.
c=4a-3, b=3a+3
a^2=c^2-b^2
a^2=(4a-3)^2-(3a+3)^2
a^2=(16a^2-24a+9)-(9a^2+18a+9)
a^2=7a^2-42a
a= (7a(a-6))^(1/2)
Did i do soemthing wrong? How do i find the value of a and how do i find the lengths of each side.
My progress.
Let a represent the length of the shortest side. Let b represent the length of the second shortest side. let c represent the length of the hypotenuse.
c=4a-3, b=3a+3
a^2=c^2-b^2
a^2=(4a-3)^2-(3a+3)^2
a^2=(16a^2-24a+9)-(9a^2+18a+9)
a^2=7a^2-42a
a= (7a(a-6))^(1/2)
Did i do soemthing wrong? How do i find the value of a and how do i find the lengths of each side.
