Question
The dimensions of a basketball court are 74 feet and 42 feet. What is the length of the diagonal of the court?
Hint:
Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
If a is the perpendicular, b is the base, and c is the hypotenuse, then according to the definition, the Pythagoras Theorem formula is given as
c2= a2 + b2
The correct answer is: the length of the diagonal of the court is 85.1 ft
Here, Length of perpendicular(a) = 42 ft
Length of base(b) = 74 ft
Let’s say that the diagonal length is d and here that length is the hypotenuse of the right-angled triangle.
Using Pythagoras theorem
d2 = a2 + b2
d2 = 422 + 742
d2 = 7240
d 
85.1 ft
Final Answer:
Hence, the length of the diagonal of the court is 85.1 ft.
85.1 ftFinal Answer:
Hence, the length of the diagonal of the court is 85.1 ft.
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