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#1 2024-05-16 13:18:32

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 1,053

Determine Which Are Right Triangles

The lengths of the sides of a triangle are given. Determine which are right triangles. For those that are, identify the hypotenuse.



A. 6, 8, 10


B. 2, 2, 3


C. 10, 24, 26


D. 5, 4, 7

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#2 2024-05-31 11:35:40

paulb203
Member
Registered: 2023-02-24
Posts: 261

Re: Determine Which Are Right Triangles

mathxyz wrote:

The lengths of the sides of a triangle are given. Determine which are right triangles. For those that are, identify the hypotenuse.



A. 6, 8, 10


B. 2, 2, 3


C. 10, 24, 26


D. 5, 4, 7

6 8 10 is a scaled up 3 4 5 so that's a right triangle.

2 2 3 ; no, as c would be root 8 (a and b being 2 and 2)

10 24 26; yes

5 4 7 ; no, as c would be root 41 (a and b being 4 and 5)

And the hypotenuse would always be the largest of the 3 values

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#3 2024-06-07 10:18:28

Phrzby Phil
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From: Richmond, VA
Registered: 2022-03-29
Posts: 45

Re: Determine Which Are Right Triangles

You might also say that 10,24,26 is scaled up from 5,12,13, another well-known right triangle, but certainly not as cool as 3,4,5.


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