a rectangular swimming pool is 24 meters by 10 meters. jane said she could swim diagonally from one corner to another without taking a breath. How far can she swim without taking a breath?

Question

Quentin

Mathematics

4 February, 04:43

a rectangular swimming pool is 24 meters by 10 meters. jane said she could swim diagonally from one corner to another without taking a breath. How far can she swim without taking a breath?

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Answers (1)

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Raymond Fuller · Answer 1

26 m

Step-by-step explanation:

Each side of the swimming pool is a leg of a right triangle, and the diagonal is the hypotenuse. We can use the Pythagorean theorem to find the length of the hypotenuse.

a^2 + b^2 = c^2

(24 m) ^2 + (10 m) ^2 = c^2

576 m^2 + 100 m^2 = c^2

676 m^2 = c^2

c = sqrt (676 m^2)

c = 26 m

Answer: She can swim 26 meters without taking a breath.