For triangle JKL, angle JKL measures 90 degrees, and side JL has a len

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 KL?

GmatTest2026 · Answer

Solution:

It is mentioned in the question stem that angle JKL = 90 degrees, side JL has a length of 260 cms, and also side JK > side KL.

Let's solve this question by using the Pythagorean theorem.

JK^2 + KL^2 = 260^2 = 67600

Now, let's check up values that satisfy all the conditions we have the value for JK = 240 and KL = 100

GMATinsight · Answer

This question is NOT fit for GMAT Focus exam anymore. So if you are preparing for exam then please avoid such questions...

GmatTest2026 · Answer

However, I have heard from the test takers that some basic geometry concepts are still tested on the test.

Bismuth83 · Answer

1. First note that all of the answers and given sides are divisible by 10. So, for simplicity, we can divide it all by 10 and later multiply by 10.

2. Let there be 3 sides a, b, and c, which are JK, KL, and JL, respectively. JL is known to be the hypotenuse and equal to 26.

3. Pythagorean's theorem gives us that  a^2 + b^2 = 26^2 = 676 .

4. The answer choices for a and b are 5, 10, 12, 20, and 24. Their squared forms are 25, 100, 144, 400, and 576.

5. 400 + 144 = 544 < 676. So, 576 must be the square of one of the sides and the other is 676 - 576 = 100. In other words, a = 24 and b = 10.

6. Our answer will then be:   JK - 240 and KL - 100  .

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For triangle JKL, angle JKL measures 90 degrees, and side JL has a len

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For triangle JKL, angle JKL measures 90 degrees, and side JL has a len

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