Sheets of canvas have been hung over the waiting lines to provide shade. Each canvas sheet is in the shape of a triangle with side lengths of 50 feet, 75 feet, and 75 feet. What is the area of each canvas sheet

what is the altitude to the center of the 50 foot side?

h^2 + 25^2 = 75^2
from that find h
then
A = (1/2)(50) h = 25 h

To find the area of a triangle, you can use the formula:

Area = (base * height) / 2

In this case, we need to find the base and height of the triangle. Since we are given the lengths of all three sides, we can use the Heron's formula to calculate the area.

Heron's formula states that for a triangle with sides of lengths a, b, and c, and semi-perimeter s (half of the sum of the three sides):

Area = sqrt(s * (s - a) * (s - b) * (s - c))

First, let's find the semi-perimeter (s):

s = (a + b + c) / 2

Given that the side lengths are 50 feet, 75 feet, and 75 feet:

s = (50 + 75 + 75) / 2 = 200 / 2 = 100 feet

Now, we can substitute the values into Heron's formula:

Area = sqrt(100 * (100 - 50) * (100 - 75) * (100 - 75)) [Using the formula: Area = sqrt(s * (s - a) * (s - b) * (s - c))]

Area = sqrt(100 * 50 * 25 * 25)

Area = sqrt(312500) = 559.02 square feet (rounding to two decimal places)

So, the area of each canvas sheet is approximately 559.02 square feet.