Sasha made four models of airplane wings, as shown below.
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Which model is a right triangle?

Question

Sasha made four models of airplane wings, as shown below.
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Which model is a right triangle?

anonymous · Answer

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anonymous · Answer

Can someone guide me through? I need to learn this for class

directrix · Answer

Model B. Its sides are a Pythagorean Triple. (3,4,5) --> by 2 -->  (6,8,10)

directrix · Answer

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anonymous · Answer

Is that all the lengths that make every triangle right there??

directrix · Answer

You can go through each of the triangles, find the longest side and determine if the square of that side is equal to the sum of the squares of the other two.

10^2 = 6^2 + 8^2 ----> Model B
100 = 36 + 64
100 = 100.

If you have studied the triples, picking out the triangle that is right is easier to spot in some cases. The triples work because they satisfy the converse of the Pythagorean Theorem.

directrix · Answer

>>Is that all the lengths that make every triangle right there??

NO, these are common ones.

There are infinitely many triples of numbers that could be sides of a right triangle.

Use the Pythagorean Theorem converse.

anonymous · Answer

Alright thanks!