The height of a triangle is 8m less than the base. the area is 10m^2. Find the height and base.
I really need help on just turning this word problem into an equation!
h = height
h+8=base
A = 1/2*h*b=10
10 = 1/2(h)(h+8)
Solve for h.
To turn this word problem into an equation, we can use the formula for the area of a triangle: Area = (1/2) * base * height.
Let's denote the base as "b" and the height as "h".
From the problem, we are given two pieces of information:
1. The height is 8m less than the base. We can express this as h = b - 8.
2. The area is 10m^2. This gives us the equation 10 = (1/2) * b * h.
Now, substitute the value of h from the first equation into the second equation:
10 = (1/2) * b * (b - 8)
Simplifying this equation will give us the value of the base (b).