If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? show your work and explain your reasoning.

A^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse
90^2 + 120^2 = c^2
8100 + 14400 = c^2
22500 = c^2take the sq rt of both sides...this gets rid of the ^2
sq rt 22500 = c
150 = c

so side a = 90 ft, side b = 120 ft, and side c = 150 ft

this is called the pythagorean theorem and it only works on right triangles