Which of the following triangles are right triangles? Check all that apply
A triangle with side lengths 4, 5, 6
A triangle with side lengths 6 inches, 8 inches, 10 inches
A triangle with side lengths 8, 15, 17
A triangle with side lengths 5, 12, 13

Respuesta :

If they are right triangles, they'll satisfy Pythagoras theorem:

a^2 = b^2  +c^2, with the longest side:

No: 6^2 = 4^2 + 5^2
Yes: 10^2 = 6^2 + 8^2
Yes: 17^2=15^2+8^2
Yes: 13^2 = 12^2 + 5^2

All but the first are right triangles. Check the 2nd,  3rd and 4th!

In this exercise we have to apply the Pythagorean theorem to know that it is possible to form a certain triangle, so we have:

A) No
B) Yes
C) Yes
D) Yes

Knowing that the Pythagorean theorem is given by:

[tex]a^2 = b^2 +c^2[/tex]

They are putting the values ​​informed we have:

A) [tex]6^2 = 4^2 + 5^2[/tex]

B) [tex]10^2 = 6^2 + 8^2[/tex]

C) [tex]17^2=15^2+8^2[/tex]

D) [tex]13^2 = 12^2 + 5^2[/tex]

See more about triangles at brainly.com/question/25813512