SOLUTION: the length of the side of a triangle are xcm (x plus1) and (x plus 2 ) determine x so that this triangle is a right angle triangle

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Question 874986: the length of the side of a triangle are xcm (x plus1) and (x plus 2 ) determine x so that this triangle is a right angle triangle
Answer by ben720(159)   (Show Source): You can put this solution on YOUR website!
By the pythagorean theorem,

Multiply

Subtract x^2+4x+4

Quadratic formula:
Solved by pluggable solver: SOLVE quadratic equation with variable
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=16 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3, -1. Here's your graph:

Because the sides can't be negative, x=3.
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