The height of a triangle is 6 cm longer than its base. If its area is 36 square cm, what is the length of the base and the height?

Answer 1

Height of the Triangle is H

Base of the Triangle is B

Given condition, H=B+6

Area of the Triangle A = 1/2(B*H) = 36

1/2 * 2 * B*(B+6) = 36 * 2

B² + 6B =72

B² + 6B -72 =72 -72

B² + 6B -72=0

(B+12)(B-6)=0

B=-12 and B=6 the Base cannot be negative Thus B=6

H=B+6 = 6 + 6 = 12

Base of the Triangle is 6

Height of the Triangle is 12