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

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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**paulb203****Member**- Registered: 2023-02-24
- Posts: 306

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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**Phrzby Phil****Member**- From: Richmond, VA
- Registered: 2022-03-29
- Posts: 50

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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