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4 years ago

12

A triangle with sides 7.5, 10, and 12.5 is a right triangle.

1 answer:

liq [111]4 years ago

4 0

Answer:

Yes

Step-by-step explanation:

$( {12.5)}^{2} = 156.25...(1) \\ ( {7.5)}^{2} + ( {10)}^{2} \\ = 56.25 + 100 = 156.25...(2) \\ from \: equations \: (1) \: and \: (2) \\ ( {12.5)}^{2} =( {7.5)}^{2} + ( {10)}^{2} \\ \therefore \: given \: side \: lengths \: form \: right \: \\triangle \\ (by \: converse \: of \: pythagorean \: \\ theorem)$

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