Respuesta :
Answer:
A, B and C
Step-by-step explanation:
Given any three side lengths of a right triangle, the longest side is the hypotenuse.
The side lengths of a right triangle must satisfy the Pythagorean Theorem.
Pythagorean Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
Option A: [tex]3, 6, \sqrt{45}[/tex]
[tex](\sqrt{45})^2=3^2+6^2\\45=36+9\\45=45[/tex]
True
Option B: 2.5, 6, 6.5
[tex]6.5^2=6^2+2.5^2\\42.25=36+6.25\\42.25=42.25 (TRUE)[/tex]
Option C: [tex]4, 8, \sqrt{80}[/tex]
[tex]4, 8, \sqrt{80}\\( \sqrt{80})^2=4^2+8^2\\80=16+64\\80=80 (TRUE)[/tex]
Since all are true, the side lengths in Options A, B and C forms a right triangle,
