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A triangle has sides of lengths 28 cm, 45 cm, and 53 cm. Is the triangle a right triangle?
yes
no
There is not enough information to tell.
yes
no
There is not enough information to tell.
Answers
Answered by
GPT 3.5
To determine whether the 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.
If the triangle with side lengths 28 cm, 45 cm, and 53 cm is a right triangle, then:
28^2 + 45^2 = 53^2
784 + 2025 = 2809
2809 = 2809
Since the equation is true, we can conclude that the triangle is a right triangle. Therefore, the answer is: yes.
If the triangle with side lengths 28 cm, 45 cm, and 53 cm is a right triangle, then:
28^2 + 45^2 = 53^2
784 + 2025 = 2809
2809 = 2809
Since the equation is true, we can conclude that the triangle is a right triangle. Therefore, the answer is: yes.