b = base
h = height
Area of triangle:
A = b ∙ h / 2
In this case:
h = b + 4 , A = 70 ft²
A = b ∙ h / 2
70 = b ∙ ( b + 4 ) / 2
70 = ( b² + 4 b ) / 2
Multiply both sides by 2
140 = b² + 4 b
Subtract 140 to both sides
0 = b² + 4 b - 140
b² + 4 b - 140 = 0
The solutions are:
b = - 14 and b = 10
Base can not be negative so:
b = 10 ft
h = b + 4
h = 14 ft
"The height of a triangle is 4 ft more than its base. Its area is 70 square feet. Find the height and base, then enter their sum below."
Also, there is this one^ I'm just really confused about how to set it up.
4 answers
Thank you!! I'm a little confused on what the sum would be, would it be 4?
The height of a triangle is 4 ft more than its base means:
The height
h = base + 4
base + 4 is 4 ft more than its base
The height
h = base + 4
base + 4 is 4 ft more than its base
"Their sum" refers to the result you would get by adding them together.
Since the base is 10 and the height is 14, their sum is 10 +14 = 24
Since the base is 10 and the height is 14, their sum is 10 +14 = 24