Area of a triangle is72cm squared
base=12
height=?
Let x = length of the base
Then, 2x + 2 = length of the altitude
Area of triangle = ½(base)(altitude)
So, ½(x)(2x + 2) = 72
Simplify to get x2 + x - 72 = 0
(x + 9)(x - 8) = 0
x = -9 or x = 8
Since x can't be negative, x = 8
base = x = 8 cm
altitude = 2x + 2 = 18 cm
area = (1/2) base x height
(1/2)(12)h = 72
6h = 72
h = 12
To find the height of a triangle, given its area and base, you can use the formula:
Area = (1/2) * base * height
We are given that the area of the triangle is 72 cm^2 and the base is 12 cm. Let's use this information to find the height.
Rearranging the formula, we get:
height = (2 * Area) / base
Plugging in the values, we have:
height = (2 * 72) / 12
Using simple arithmetic:
height = 144 / 12
height = 12 cm
Therefore, the height of the triangle is 12 cm.