Question

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.

Answer 1

100/240/260 will be the combination.

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.