Question

a triangle has sides with lengths of 50 centimeters ,30 centimeters and 40 centimeters is it a right triangle

Answer 1

Yes

Explanation:

`{50}^(2) = 2500 ...(1)\\ \\ {30}^(2) + {40}^(2) = 900 + 1600 \\ {30}^(2) + {40}^(2) = 2500...(2) \\ \\ From \: equations \: (1) \: and \: (2) \\ \\ {50}^(2) = {30}^(2) + {40}^(2) \\ \\ \therefore \: By \: converse \: of \: Pythagoras \: \\Theorem \\ \\ 50, \: cm \: 40, \: cm \: 30 \: cm \: are \: the \: side \: \\lengths \: of \: right \: triangle.`