SOLUTION: The area of the triangle is 100a^3b square units. Find the height of the triangle. The length is 20a^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The area of the triangle is 100a^3b square units. Find the height of the triangle. The length is 20a^2      Log On


   

Question 73740: The area of the triangle is 100a^3b square units. Find the height of the triangle.
The length is 20a^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Area=%28base%2Aheight%29%2F2Use this to find the height
100a%5E3b=%2820a%5E2%2Aheight%29%2F2Solve for height by multiplying both sides by 2%2F20a%5E2
%282%2Fcross%2820%29a%5Ecross%282%29%29100a%5E3b=heightcompute 2(100/20)=10 and divide exponents by subtraction
height=10abSimplify
Check:
Area=%28base%2Aheight%29%2F2Use this to check
100a%5E3b=%2820a%5E2%2A10ab%29%2F2
100a%5E3b=%28200a%5E3b%29%2F2
100a%5E3b=100a%5E3bWorks