The triangle has a height of 30 yards and a diagonal of 75 yards what is the base length round to to the nearest tenth explain and show your work
To find the base length of the triangle, we can use the Pythagorean theorem since we have the height and the diagonal. The Pythagorean theorem states that in a right triangle, the square of the length of the diagonal is equal to the sum of the squares of the base and height.
Let the base length be x yards. Then we can set up the following equation:
x^2 + (30)^2 = (75)^2
x^2 + 900 = 5625
x^2 = 5625 - 900
x^2 = 4725
x = √4725
x ≈ 68.7
Therefore, the base length of the triangle is approximately 68.7 yards.