SOLUTION: A right triangle has a side length (e.g. not the hypotenuse) of x+2 and x+9. What is the simplified expression which represents the area?

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: A right triangle has a side length (e.g. not the hypotenuse) of x+2 and x+9. What is the simplified expression which represents the area?      Log On


   



Question 1195786: A right triangle has a side length (e.g. not the hypotenuse) of x+2 and x+9. What is the simplified expression which represents the area?
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

area = 0.5*base*height
area = 0.5*(x+2)*(x+9)
area = 0.5*(x^2+9x+2x+18) ... use the FOIL rule
area = 0.5*(x^2+11x+18)
area = 0.5x^2+5.5x+9

Side notes:
0.5 = 1/2
5.5 = 11/2

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

For your info:


        In a right triangle,  the sides that are not the hypotenuse,  are called  the legs  in  English.


So, the normal smooth wording for your problem would sound this way:

    In a right triangle, the legs are (x+2) and (x+9) units long.

    Write a simplified expression which represents the area of the triangle.