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Which of these four sets of side lengths will form a right triangle?


Set 1
10 cm, 26 cm, 24 cm

Set 2
4 in., 2 in., 6 in.

Set 3
14 mm, 13 mm, 15 mm

Set 4
10 ft, 30 ft, 20 ft

Set 1
Set 2
Set 3
Set 4

Respuesta :

Answer:

Set 1    Yes

Set 2    No

Set 3 and Set 4   ???

Step-by-step explanation:

Use the converse of the Pythagorean theorem.   Square the lengths and see if 2 results add up to the third result.

So, Set 1

[tex]10^{2} = 100 \\26^{2} = 676\\24^{2} = 576[/tex]       100 + 576 = 676  Therefore we have a right triangle

Set 2

[tex]4^{2} = 16\\2^{2} = 4\\6^{2} = 36[/tex]

16 + 4 ≠  36   Therefore we do NOT have a right triangle

I will let you do Set 3 and Set 4.  OK?

evesides123

set 1 is the answer ............................................................

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