106k views
5 votes
Find the height of a triangle with area 85 1/3 ft squared and base 10 2/3 feet squared

User MrMesees
by
8.3k points

1 Answer

3 votes
lets convert the fractions first:
85 1/3 = 255/3 + 1/3 = 256/3
10 2/3 = 30/3 + 2/3 = 32/3
now, the equation to find the area of a triangle is:
area = height*base/2
so the height is:
height = 2*area/base
then we substitute:
height = 2*(256/3)/(32/3)
= (2*256/3)/(32/3)
= (512/3)/(32/3)
now, dividing by a fraction is the same as multiplying by that fraction upside down:
= (512/3)(3/32)
= (512*3)/(3*32)
= 1536/96
= 16
therefore the height of the triangle is 16 ft
User Ahmed Safadi
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.