2. The Pythagorean Theorem and Its Converse
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Evaluate the length of the horizontal portion using the Pythagorean Theorem.
≈ 3 ft.
Let's begin with recalling the Pythagorean Theorem. In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
a^2+ b^2= c^2 Now, let's look at the given picture which presents the support for a basketball hoop. As we can see, the support forms a right triangle.
a bc=a* c+b/c
(a/b)^m=a^m/b^m
Calculate power
LHS-9/4=RHS-9/4
a/b=a * 4/b * 4
a/b=a * 9/b * 9
Subtract fractions
sqrt(LHS)=sqrt(RHS)
sqrt(a^2)=a
Calculate quotient
Calculate root
Round to nearest integer