To determine if triangle ABC 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 AB as the hypotenuse, and AC and BC as the other two sides.

Step 1: Square the lengths of AC and BC, and add them together.
AC^2 + BC^2 = 18^2 + 24^2 = 324 + 576 = 900

Step 2: Square the length of AB.
AB^2 = 30^2 = 900

Step 3: Compare the results from Step 1 and Step 2. If they are equal, then triangle ABC is a right-angled triangle.

Since 900 = 900, triangle ABC is indeed a right-angled triangle.

Question

To determine if triangle ABC 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 AB as the hypotenuse, and AC and BC as the other two sides.

Step 1: Square the lengths of AC and BC, and add them together.
AC^2 + BC^2 = 18^2 + 24^2 = 324 + 576 = 900

Step 2: Square the length of AB.
AB^2 = 30^2 = 900

Step 3: Compare the results from Step 1 and Step 2. If they are equal, then triangle ABC is a right-angled triangle.

Since 900 = 900, triangle ABC is indeed a right-angled triangle.

Knowee AI · Accepted Answer

To determine if triangle ABC 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 AB as the hypotenuse, and AC and BC as the other two sides.

Step 1: Square the lengths of AC and BC, and add them together.
AC^2 + BC^2 = 18^2 + 24^2 = 324 + 576 = 900

Step 2: Square the length of AB.
AB^2 = 30^2 = 900

Step 3: Compare the results from Step 1 and Step 2. If they are equal, then triangle ABC is a right-angled triangle.

Since 900 = 900, triangle ABC is indeed a right-angled triangle.

In triangle ABC, AB=30 cm, AC=18 cm and BC=24 cm. Determine if triangle ABC is a right-angled triangle.

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