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!
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