SOLUTION: The area of a triangle is 16 square units. The base of the triangle is x+4. The height of the triangle is x. Find x

Algebra ->  Triangles -> SOLUTION: The area of a triangle is 16 square units. The base of the triangle is x+4. The height of the triangle is x. Find x      Log On


   

Question 615449: The area of a triangle is 16 square units. The base of the triangle is x+4. The height of the triangle is x. Find x
Answer by asuar010(338) About Me  (Show Source):
You can put this solution on YOUR website!
are is b*h/2 so we get (x+4)*x/2
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=4,x=-8.
  • Graphical form: Equation %28x%2B4%29%2Ax%2F2=16 was fully solved.
  • Text form: (x+4)*x/2=16 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%28x%2B4%29%2Ax%2F2=16+%29
    For tutors: simplify_cartoon( (x+4)*x/2=16 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at %28x%2B4%29%2Ax%2F2=highlight_red%28+16+%29.
Moved these terms to the left highlight_green%28+-16+%29
It becomes %28x%2B4%29%2Ax%2F2-highlight_green%28+16+%29=0.
Look at highlight_red%28+%28x%2B4%29%2Ax%2F2+%29-16=0.
Expanded term x%2F2 by using associative property on %28x%2B4%29
It becomes highlight_green%28+x%2F2%2Ax+%29%2Bhighlight_green%28+x%2F2%2A4+%29-16=0.
Look at x%2F2%2Ax%2Bx%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+4+%29-16=0.
Factors 4 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes x%2F2%2Ax%2Bx%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+2+%29-16=0.
Look at highlight_red%28+x+%29%2F2%2Ahighlight_red%28+x+%29%2Bx%2F1%2A2-16=0.
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes highlight_green%28+x%5E2+%29%2F2%2Bx%2F1%2A2-16=0.
Look at x%5E2%2F2%2Bx%2Fhighlight_red%28+1+%29%2A2-16=0.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes x%5E2%2F2%2Bx%2A2-16=0.
Look at highlight_red%28+x%5E2%2F2%2Bx%2A2-16+%29=0.
Equation highlight_red%28+x%5E2%2F2%2Bx%2A2-16=0+%29 is a quadratic equation: 0.5*x^2+2*x-16 =0, and has solutions 4,-8
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=4,x=-8.

Universal Simplifier and Solver


Done!