Asked by Karen
Area of a triangle is72cm squared
base=12
height=?
base=12
height=?
Answers
Answered by
little dark one
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
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
Answered by
Reiny
area = (1/2) base x height
(1/2)(12)h = 72
6h = 72
h = 12
(1/2)(12)h = 72
6h = 72
h = 12
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