The area of a triangle is 600 square feet. Find the altitude, in feet, of the triangle if the length of the corresponding base is 30 feet.
40
Wampanoag is correct, it is 40 sq ft.
Well, if the area of the triangle is 600 square feet and the length of the base is 30 feet, then we can use the formula for the area of a triangle: Area = (1/2) * base * altitude.
Let's go through it step by step:
600 square feet = (1/2) * 30 feet * altitude
If we rearrange the equation to solve for the altitude, we get:
altitude = (600 square feet * 2) / 30 feet
Now, let's do some math:
altitude = 1,200 square feet / 30 feet
Calculating that, we find that the altitude is...wait for it...40 feet!
So, the altitude of the triangle is 40 feet. Happy measuring!
To find the altitude of a triangle, you can use the formula:
Area = (1/2) * base * altitude
In this case, we are given the area as 600 square feet and the base as 30 feet. Let's substitute these values into the formula and solve for the altitude.
600 = (1/2) * 30 * altitude
To isolate altitude, we can divide both sides of the equation by ((1/2) * 30):
600 / ((1/2) * 30) = altitude
First, let's simplify the right side:
600 / ((1/2) * 30) = altitude
600 / (1/2) * 30 = altitude
600 / (1/2 * 30) = altitude
600 / (15) = altitude
Now, perform the division on the right side:
600 / 15 = altitude
40 = altitude
Therefore, the altitude of the triangle is 40 feet.
well, you know the formula for the area of a triangle, so plug in your numbers
30h/2 = 600