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Which of the choices shown are the length of the side of a right triangle.

Which of the choices shown are the length of the side of a right triangle.-example-1
User Gwinn
by
4.8k points

1 Answer

3 votes

We have to check each optuions:

1, 1, 2

Let the largest number be the hypotenuse

Using pythagoras theorem

opp² + adj² = hyp²

1² + 1² = hyp²

1 + 1 = hyp²

2 = hyp²

hyp = √2 = 1.4

So this can't be right triangle

Let's check the next option

5, 6, 12

5² + 6² = hyp²

25 + 36 = hyp²

61 = hyp²

hyp = 7.8

This can't be a choice for a right-triangle

Next,

3, 5, 8

3² + 5² = hyp²

9 + 25 = hyp²

34 = hyp²

hyp = 5.8

This can't be a choice for a right-triangle

Next,

10, 24, 26

10² + 24² = hyp²

100 +576 = hyp²

676 = hyp²

hyp = 26

This is a choice for the length of the sides of a right triangle

Hence option D is the correct option

User Sandric
by
4.8k points