= 187.3 yards
Step-by-step explanation:
The set-up will represent a triangle whereby the :
[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ {a}^{2} = {240}^{2} - {150}^{2} \\ {a}^{2} = 57600 - 22500 \\ \sqrt{ {a}^{2} } = \sqrt{35100} \\ a = 187.3yards \: (rounded \: off \: to \: 1dp)[/tex]
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The length of the rectangular track is 187.35 yards.
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given the width of the track is 150 yards and the diagonal of the track is 240 yards. The length of the track is,
(Diagonal)² = (Length)² + (Width)²
240² = Length² + 150²
Length = √(240²-150²)
Length = 187.35 yards
Hence, the length of the rectangular track is 187.35 yards.
Learn more about Pythagoras' Theorem:
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