Answer:
MRCORRECT has answered the question
Step-by-step explanation:
Base = b
height =h = b+7
Area = 1/2 * b* h
60 = 1/2*b*(b+7)
120 =b2+7b
b2+7b-120=0
(b+15)(b-8) =0
b=-15 and b=8
base cannot be negative
so base =b =8 cm
Answer:
8 cm
Step-by-step explanation:
Let's say the height is h and the base is b. Since the height is 7 cm longer than the base, we can write:
h = b + 7
The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height. Plug in what we have:
A = (1/2) * b * h
60 = (1/2) * b * (b + 7)
120 = b² + 7b
b² + 7b - 120 = 0
Factor:
(b + 15)(b - 8) = 0
b = -15 or b = 8
Clearly, the base length can't be negative, so the base is 8.
The answer is thus 8 cm.
