How do you determine if the lengths $17, 33, 98$ $17, 33, 98$ form a right triangle?

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Answer 1 · 2017-02-13T16:36:04

Given lengths do not form a triangle and question of forming right angled triangle does not arise.

To determine whether given lengths form a right angled triangle or not,

the square on the largest side should be equal to

sum of the squares on other two sides.

But given lengths form a triangle only if length of the largest side is less than sum of the smaller two sides.

In the given case the largest length is $98$ $98$ and $98 > 17 + 33$ $98> 17+33$

Hence, given lengths do not form a triangle and question of forming right angled triangle does not arise.

How do you determine if the lengths 17, 33, 9817,33,9817, 33, 98 form a right triangle?