Geometry
posted by Renee
Determine whether the triple of numbers can be the sides of a right triangle. Please explain.
6, 8, 10
Squareroot of 2, Squareroot of 3, Squareroot of 10

Reiny
If it is a rightangled triangle, then clearly the largest number would have to be the hypotenuse.
so test if 6^2 + 8^2 = 10^2 ?
Yes it is, so the 3 sides form a rightangled triangle.
is (√2)^2 + (√3)^2 = (√10)^2 ?
What do you think?
What is your conclusion?
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