SOLUTION: The lengths of the three sides of a right triangle are represented by consecutive even whole numbers. Find the lengths of the three sides.
I really need help with this one, I d
Algebra.Com
Question 171107: The lengths of the three sides of a right triangle are represented by consecutive even whole numbers. Find the lengths of the three sides.
I really need help with this one, I don't know how to begin. Thank you.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The lengths of the three sides of a right triangle are represented by consecutive even whole numbers. Find the lengths of the three sides.
------------------------
The sides will be 2x, 2x+2 and 2x+4 (2x since the numbers are even)
The longest side squared = the sum of the other 2 sides squared, since it's a right triangle.
(2x+4)^2 = (2x)^2 + (2x+2)^2
4x^2 + 16x + 16 = 4x^2 + 4x^2 + 8x + 4
16x + 16 = 4x^2 + 8x + 4
4x^2 -8x -12 = 0
x^2 - 2x - 3 = 0
(x-3)*(x+1) = 0
x = -1
x = 3
Ignore the -1.
So the sides are 6, 8 and 10.
RELATED QUESTIONS
the lengths of the three sides of a right triangle are represented by consecutive even... (answered by jojo14344)
The lengths of the three sides of a right triangle are represented by consecutive whole... (answered by jojo14344)
My question is this, the lengths of the three sides of a right triangle are represented... (answered by jorel1380)
The lengths of the three sides of a right triangle are given by three consecutive even... (answered by Alan3354)
The perimeter of a triangle is 42 inches. The lengths of the sides are represented by... (answered by Earlsdon)
The perimeter of a triangle is 54 inches. The lengths of the sides are represented by... (answered by rfer)
The lengths of the sides of a triangle are represented by three consecutive even... (answered by Alan3354,ikleyn)
the lengths of the sides of a right triangle are given by three consecutive integers.... (answered by josgarithmetic,MathLover1)
The lengths of the three sides of a right triangle are consecutive integers. Find... (answered by ewatrrr)