Question

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

Answer 1

Answer: the awnser is 0 jk its not

Explanation:

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Answer 2

Yes, it can make a right triangle.

Explanation:

We can use the Pythagorean Theorem to determine if the sides make a right triangle.

`a^2+b^2=c^2`

We are given the side lengths: 5cm, 13cm, and 12 cm.

13cm is the longest, so it would be 'c'.

5cm and 12cm will be 'a' and 'b'.

Let 5 be 'a', 12 be 'b', and 13 be 'c':

`5^2+12^2=13^2\\\\\text{Solve the Exponents:}\\ \rightarrow 5^2=25\\\rightarrow 12^2=144\\\rightarrow 13^2=169\\\\25+144=169\\\boxed{169=169}`

5cm, 13cm, and 12 cm would make a right triangle. It satisfies the Pythagorean Theorem.