A triangle has an area of 60 in^2. Its base is 10 inches and its height is √x inches. What is the value of x? What is the height of the triangle? Please show all work that you use to determine your answer. (Hint: The formula for the area of a triangle is A= 1/2bh where b=base and h=height)
2 answers
PLEASE
A = Area = 60 in ^ 2
b = base = 10 in
h = height
A = b h / 2
60 = 10 * h / 2 Multiply both sides by 2
120 = 10 * h Divide both sides by 10
12 = h
h = 12 in
h = sqrt ( x ) Square both sides
h ^ 2 = x
x = h ^ 2 = 12 ^ 2 = 144 in ^ 2
b = base = 10 in
h = height
A = b h / 2
60 = 10 * h / 2 Multiply both sides by 2
120 = 10 * h Divide both sides by 10
12 = h
h = 12 in
h = sqrt ( x ) Square both sides
h ^ 2 = x
x = h ^ 2 = 12 ^ 2 = 144 in ^ 2
1 answer