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Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?

The triangle is a right triangle because 52 + 122 = 132

The triangle is a right triangle because 5 + 13 > 12.

The triangle is not a right triangle because 52 + 132 > 122

The triangle is not a right triangle because 5 + 12 > 13.

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Answer: The triangle is a right triangle because 5²+12² = 13².

Step-by-step explanation:

According to the converse of Pythagoras theorem, if the square of largest side of triangle is equal to the sum of squares of other two sides, then it is a right triangle.

The given side-lengths of triangle = 5 cm, 13 cm, and 12 cm

Here, 13² = 169

and 5²+12²=25+144=169

i. e. the square of largest side of triangle is equal to the sum of squares of other two sides.

Thus, by converse of Pythagoras theorem, we can say that it is a right triangle.

Therefore, the correct answer : The triangle is a right triangle because 5²+12² = 13².

5^2+12^2=13^2

Step-by-step explanation:

5^2+12^2=25+144=169

13^2=169

so 5^2+12^2=13^2