the area of a triangle is 27 square feet. its height is three times the length of its base. find the height and base of the triangle. i am unsure of how to set it up, please help

Answer 1

Well, you know that that the area of a triangle
= (1/2)bh, where b is the base and h is the height

but you are told that h = 3b , so

area = (1/2)(b)(3b)
27 = (1/2)(3b^2)
times 2
54 = 3b^2
b^2 = 18
b = √18 or 3√2 ft

base = 3√2 ft and the height is 9√2 ft

check:
area = (1/2)(3√2)(9√2)
= (1/2)(54) = 27

Answer 2

would it be the same if you divided 3b^2 by 2 to equal 1.5b^2

Answer 3

ur mom

Answer 4

yes this is true

Answer 5

4

Answer 6

the anser is 4 gys