SOLUTION: use the pythagorean theory to determine the value of x and the measurments of each side of the right triangle. one side:5x second side: x+8 thrid side: 5x-4 solve for x

Algebra.Com
Question 957112: use the pythagorean theory to determine the value of x and the measurments of each side of the right triangle.
one side:5x
second side: x+8
thrid side: 5x-4
solve for x
Found 2 solutions by CubeyThePenguin, MathTherapy:
Answer by CubeyThePenguin(3113)   (Show Source): You can put this solution on YOUR website!
I'm assuming the third side is the hypotenuse.

(5x)^2 + (x + 8)^2 = (5x - 4)^2
25x^2 + x^2 + 16x + 64 = 25x^2 - 40x + 16
x^2 + 16x + 64 = -40x + 16
x^2 + 56x + 48 = 0

Use the quadratic formula to find x.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

use the pythagorean theory to determine the value of x and the measurments of each side of the right triangle.
one side:5x
second side: x+8
thrid side: 5x-4
solve for x
You need to state which expression represents the longest side. However, contrary to the other person's belief, 5x - 4 CANNOT

be the longest side/hypotenuse since 5x is CLEARLY larger than 5x - 4. 

This right triangle's sides appear to have an x-value of 4 or 20. If 4, it's a 3-4-5 TIMES 4 Pythagorean triple. With an

x-value of 20, however, it's a 7-24-25 TIMES 4, Pythagorean triple. 

RELATED QUESTIONS


Use the Pythagorean Theorem to find the missing side of the right triangle.

            (answered by Alan3354)

Please help me to solve the following equation:
Use the Pythagorean theorum to determine  (answered by josmiceli)

(a) use the Pythagorean theorem to determine the length of the unknown side of the... (answered by rfer)

Use the Pythagorean theorem to determine the length of the unknown side of the... (answered by oberobic)

how to find out if three set of numbers are the measurments of the side of the... (answered by richard1234)

A right triangle has a hypotenuse length of 12, and one side length of 9. Find the... (answered by Alan3354,erica65404,stanbon)

2. A right triangle has side AB=5, BC=x, AC= missing
 
1) Write an expression that... (answered by robertb)

Sketch a right triangle corresponding to 
sin(theta)=5/6
Use Pythagorean Theorem to... (answered by stanbon)

Sketch a right triangle corresponding to the trigonometric function of the acute angle... (answered by jsmallt9)