To determine if triangle JKL is a right-angled triangle, we can use the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here, we can consider JK as the hypotenuse because it is the longest side.

Step 1: Square the lengths of the two shorter sides and add them together.
JL^2 + KL^2 = 10^2 + 24^2 = 100 + 576 = 676

Step 2: Square the length of the hypotenuse.
JK^2 = 26^2 = 676

Since the sum of the squares of the lengths of the two shorter sides (676) is equal to the square of the length of the hypotenuse (676), triangle JKL is a right-angled triangle according to the Pythagorean theorem.

Question

To determine if triangle JKL is a right-angled triangle, we can use the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here, we can consider JK as the hypotenuse because it is the longest side.

Step 1: Square the lengths of the two shorter sides and add them together.
JL^2 + KL^2 = 10^2 + 24^2 = 100 + 576 = 676

Step 2: Square the length of the hypotenuse.
JK^2 = 26^2 = 676

Since the sum of the squares of the lengths of the two shorter sides (676) is equal to the square of the length of the hypotenuse (676), triangle JKL is a right-angled triangle according to the Pythagorean theorem.

Knowee AI · Accepted Answer

To determine if triangle JKL is a right-angled triangle, we can use the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here, we can consider JK as the hypotenuse because it is the longest side.

Step 1: Square the lengths of the two shorter sides and add them together.
JL^2 + KL^2 = 10^2 + 24^2 = 100 + 576 = 676

Step 2: Square the length of the hypotenuse.
JK^2 = 26^2 = 676

Since the sum of the squares of the lengths of the two shorter sides (676) is equal to the square of the length of the hypotenuse (676), triangle JKL is a right-angled triangle according to the Pythagorean theorem.

In triangle JKL, JK=26 cm, JL=10 cm and KL=24 cm. Determine if triangle JKL is a right-angled triangle.

Question

In triangle JKL, $JK = 26$ cm, $JL = 10$ cm and $KL = 24$ cm. Determine if triangle JKL is a right-angled triangle.

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