the base of a triangle is the same as its height. what are the least whole number measurements for the triangle so that the area would be greater than 144 ft square?
To find the least whole number measurements for the triangle so that the area is greater than 144 square feet, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
Since the base and height of the triangle are the same, let's assume the measurement to be 'x'.
Area = 1/2 * x * x = x^2/2
We want the area to be greater than 144 square feet, so we set up the inequality:
x^2/2 > 144
Multiplying both sides of the inequality by 2:
x^2 > 288
To find the least whole number measurement, we need to find the square root of 288 and round up to the nearest whole number:
√288 ≈ 16.97
So, the least whole number measurement for the base and height of the triangle would be 17.