Question

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.

Answer 1

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^2.....take 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

Answer 2

The feet of flowers that will be planted along side c the hypotenuse of the right triangle is 150 ft.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.

Therefore,

c² = a² + b²

c² = 90² + 120²

c² = 8100 + 14400

c² = 22500

square root both sides

c = √22500

c = 150 feet

Therefore, the feet of flowers that will be planted along side c the hypotenuse of the right triangle is 150 ft

learn more on right triangle here: https://brainly.com/question/1478228

#SPJ5