A triangle has an area of 118.4 square miles and a height of 16 miles. What is the length of the base?
The area of a triangle is given by the formula:
Area = (1/2) * base * height
We are given that the area is 118.4 square miles and the height is 16 miles.
Substituting these values into the formula, we have:
118.4 = (1/2) * base * 16
To isolate the base, we can multiply both sides of the equation by 2 and divide by 16:
2 * 118.4 = base * 16
base = 2 * 118.4 / 16
base = 236.8 / 16
base = 14.8
The length of the base of the triangle is 14.8 miles.
To find the length of the base of a triangle given its area and height, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
Let's substitute the given values into the formula and solve for the base:
118.4 = (1/2) * base * 16
To isolate the base, we can rearrange the equation:
base = (2 * Area) / height
Now let's plug in the values:
base = (2 * 118.4) / 16
base = 236.8 / 16
Simplifying the expression, we get:
base = 14.8
Therefore, the length of the base of the triangle is 14.8 miles.
To find the length of the base of the triangle, we can use the formula for the area of a triangle:
Area of a triangle = (base * height) / 2
Given that the area of the triangle is 118.4 square miles and the height is 16 miles, we can rearrange the formula to solve for the base:
base = (2 * Area of the triangle) / height
Plugging in the given values, we get:
base = (2 * 118.4) / 16
base = 236.8 / 16
base = 14.8 miles
Therefore, the length of the base of the triangle is 14.8 miles.