SOLUTION: the height of a triangle is 10 centimeters more than its base. if the area of the triangle is 100 cm, find its base and height

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the height of a triangle is 10 centimeters more than its base. if the area of the triangle is 100 cm, find its base and height       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 608827: the height of a triangle is 10 centimeters more than its base. if the area of the triangle is 100 cm, find its base and height

Answer by mananth(12270) About Me  (Show Source):
You can put this solution on YOUR website!
let base = x cm
height = (x+10) cm
Area of triangle = 1/2 * base * height
100= 1/2 * x*(x+10)
multiply by 2
200+=+x%5E2%2B10x
x%5E2%2B10x-200=0
x%5E2%2B20x-10x-200=0
x%28x%2B20%29-12%28x%2B20%29=0
(x+20)(x-10)=0
x= -20 or 10
Ignore negative
base = 10 cm
height = 20 cm