SOLUTION: Write the equation and then solve. a) One leg of a right triangle is four less than twice the other. The hypotenuse is 10. Find the length of each leg. Please help me solv

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Question 305289: Write the equation and then solve.
a) One leg of a right triangle is four less than twice the other.
The hypotenuse is 10. Find the length of each leg.

Please help me solve this equation.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Write the equation and then solve.
a) One leg of a right triangle is four less than twice the other.
The hypotenuse is 10. Find the length of each leg.
-------------------
1st side = x
2nd side = 2x-4



Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1936 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6, -2.8. Here's your graph:

-----------------
Ignore the negative solution
x = 6
2x - 4 = 8
--> 6, 8 & 10 triangle

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