For triangle JKL, angle JKL measures 90 degrees, and side JL has a length of 260 centimeters. If side JK > side KL, which of the following could be a combination of the lengths of sides JK and KL50 / 100 / 120 / 200 / 240.

Question

Ariella Pruitt

Mathematics

7 March, 03:38

For triangle JKL, angle JKL measures 90 degrees, and side JL has a length of 260 centimeters. If side JK > side KL, which of the following could be a combination of the lengths of sides JK and KL50 / 100 / 120 / 200 / 240.

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Answers (1)

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Lincoln Acevedo · Answer 1

100/240/260 will be the combination.

Step-by-step explanation:

In a right angle triangle JKL,

∠JKL = 90° and side JL is the hypotenuse of the triangle.

By Pythagoras theorem,

JK² + KL² = JL²

Since JL = 260

Therefore, (JK) ² + (KL) ² = (260) ² = 67600

In the given options, square of two numbers total becomes 67600.

And the possible numbers will be 100 and 240.

(100) ² + (240) ² = 10000 + 57600 = 67600

Since side JK > side KL

Therefore, measure of JK = 240 cm, KL = 100 cm and JL = 240 cm could be the combination among all values.