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Select the measures the could be the three side lengths of a right triangle

Select the measures the could be the three side lengths of a right triangle-example-1

1 Answer

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Remember that

A right triangle must satisfy the Pythagorean Theorem

so

c^2=a^2+b^2

Find the possible combinations

For c=43 and a=12 , b=35

43^2=12^2+35^2

1,849=144+1,225 -------> is not true

For c=43 and a=35, b=37

43^2=35^2+37^2

1,849=1,225+1,369 -----> is not true

For c=37, a=12, b=35

37^2=12^2+35^2

1,369=144+1,225

1,369=1,369 ------> is true

that means

Is a right triangle

the solution is

37,12,35

see the attached figure

Select the measures the could be the three side lengths of a right triangle-example-1
User Santy
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