The sides of the triangle are 8cm and 6cm. Can the angle opposite the 6cm side be right? why?

univerkov | July 24, 2021 | education

Suppose the corner opposite to the 6 cm side could be right. Then the 6 cm side would be the hypotenuse of this triangle, and thus it would be the longest side in this triangle. But since the triangle still has a side with a length of 8 cm, and 8 cm is more than 6 cm, then a side with a length of 6 cm cannot be the longest, which means it cannot be a hypotenuse. Therefore, the angle opposite to this side cannot be right.

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