If you have a right triangle (you do), then a^2 +b^2 = c^2, where a and b are the lengths of the legs of the triangle and c is the length of the hypotenuse.

7.5^2 + b^2 = 75^2

56.25 + b^2 = 5625

b^2 = 5568.75

b = +/-sqrt(5568.75) although the negative answer doesn’t make sense as a length, so

b = sqrt(5568.75)

b = (45/2) * sqrt(11)

b = approx 74.62 ft

I hope this helps!

So….a^2 + b^2 = c^2

You have one side given, as well as the hypotenuse. So…

(7.5)^2 +b^2 = (75)^2

56.25 + b^2 = 5625

b^2 = 5625 – 56.25

b^2 = 5568.75

So, take the square root of that number, and you get

b = 74.62

That’s what I ended up with, and I double checked it. Hope that made sense.

John

a – Can be one leg of the triangle

b – Can be the other leg of the triangle

c – Is the hypotenuse of the triangle

(7.5)^2 + b^2 = 75 – Solving for Pythorgrean Theorum

b^2 = 75 – 56.25 = squaroot(18.75) = 4.33 – Answer