SOLUTION: Find the area of the triangle with sides a: 2x+10 and b: 3x: Hypotenuse = 6x-5

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Question 554860: Find the area of the triangle with sides a: 2x+10 and b: 3x: Hypotenuse = 6x-5
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
We know the area of a triangle is 1/2 Base times height.We know it's a right triangle because it says one side is the hypotenuse, So plug in:
1/2(3x)(2x+10)=
1/2(6x^2+30x)=
3x^2+15x=Area
We could write this as:
3(x^2+5x)= Area of the triangle
Another way to tackle this is to find the value of x by using the hypotenuse formula. It's more complicated but x equals approx 3.6709
Once we have the value of x then plug it into 3(x^2+5x)
This comes out to approx 95.49 square units.
Make sense?
RJ
www.math-unlock.com