SOLUTION: A triangle has a base that is the same length as it's height. the area of this triangle is 36 meters squared. find the equal base and height measure

Algebra ->  Triangles -> SOLUTION: A triangle has a base that is the same length as it's height. the area of this triangle is 36 meters squared. find the equal base and height measure      Log On


   

Question 944840: A triangle has a base that is the same length as it's height. the area of this triangle is 36 meters squared. find the equal base and height measure
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
b=base and b=height
Area=1/2(b)(b)
36 sq m=1/2 (b)(b) Multiply each side by 2
72 sq m=b*b Find square root of each side
sqrt%2872+sq+m%29=b
6%2Asqrt%282%29+m=b
ANSWER The base and height of the triangle = 6%2Asqrt%282%29+m
CHECK
area=1/2*base*height
36+sq+m=1%2F2%2A6%2Asqrt%282%29%2A6%2Asqrt%282%29
36 sq m=1/2(6m*6m*2)
36 sq m=1/2(72 sq m)
36 sq m=36 sq m