explain how to determine whether segments in three lengths could form a right triangle
you'd have to know the slopes.
you can't use the pythagoras formula. you only use that if you ALREADY KNOW that the triangle is right triangle.
Problem assumes knowledge of the length of the sides from my reading. Like, is a triangle having sides 3, 6 , 4 a right triangle?
No, I don't think so. I came to an interesting conclusion. We know that for a right triangle with unequal sides, the ratio of each side will be 1:2:root(3). You might be able to test whether or not the sides of a triangle with measures 3:6:4 create a RIGHT triangle by comparing the known 1:2:root(3) ratio rule with the 3:6:4 postulate. |dw:1397106328067:dw| My attempt to prove the relationship between the two triangles didn't work. So I came to the conclusion that a triangle with sides 3:6:4 couldn't be a right triangle.
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