A triangle has an area of 36 ft2 (squared) and a base of 9 ft. Find the height.
Please explain step by step how to figure this out.
(If possible--intermediate school level)
2007-09-25 12:58:05 · 4 answers · asked by moonii 3 in Science & Mathematics ➔ Mathematics
formula for triangle area:
a=base*height/2
a=bh/2
so you are given a=36 and base=9
just plug the numbers in:
36=9*h/2
72=9h
72/9=h
h=8
2007-09-25 13:03:21 · answer #1 · answered by Z W 2 · 0⤊ 0⤋
1. You need to know the formula for finding the area of triangle.
Triangle Area= 1/2(base x height)
you can also write it as: A=1/2(bh)
another way to write squared on the computer: ^
2. Plug in the numbers.
36 ft^2=9h
3. Solve for the missing part.....which would be the height.
You want to find out what h is, so you have to get it alone. To get h alone you'd have to divide it by 9, and if you divide one side by 9 you have to divide the other side by 9. So you'd end up dividing 36 by 9 to get the height.
h=4 ft.
4. You can always check to make sure your answer is correct by putting it back into the formula. Does 4 ft times 9 ft equal 36 ft^2? Yep.
2007-09-25 20:17:01 · answer #2 · answered by L K 2 · 0⤊ 0⤋
Area = A = baseXheight/2
So 36 = 9*h/2
9h = 72
h = 8
Check
9*8/2= 36
36=36
2007-09-25 20:06:01 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
A = 1/2 base*height
36 ft² = 1/2 * 9ft * height
height = 2*36ft²/9ft = 8 ft
2007-09-25 20:07:04 · answer #4 · answered by Mαtt 6 · 0⤊ 0⤋