To determine if a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right 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. This is often written as a^2 + b^2 = c^2.

In this case, we can consider the longest side (73 cm) as the hypotenuse (c), and the other two sides as a and b.

So, we calculate:

a^2 + b^2 = 55^2 + 52^2 = 3025 + 2704 = 5729

c^2 = 73^2 = 5329

Since a^2 + b^2 is not equal to c^2, this triangle is not a right triangle.

Question

To determine if a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right 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. This is often written as a^2 + b^2 = c^2.

In this case, we can consider the longest side (73 cm) as the hypotenuse (c), and the other two sides as a and b.

So, we calculate:

a^2 + b^2 = 55^2 + 52^2 = 3025 + 2704 = 5729

c^2 = 73^2 = 5329

Since a^2 + b^2 is not equal to c^2, this triangle is not a right triangle.

Knowee AI · Accepted Answer

To determine if a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right 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. This is often written as a^2 + b^2 = c^2.

In this case, we can consider the longest side (73 cm) as the hypotenuse (c), and the other two sides as a and b.

So, we calculate:

a^2 + b^2 = 55^2 + 52^2 = 3025 + 2704 = 5729

c^2 = 73^2 = 5329

Since a^2 + b^2 is not equal to c^2, this triangle is not a right triangle.

A triangle has sides with lengths of 55 centimeters, 73 centimeters, and 52 centimeters. Is it a right triangle?

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