Answer:
No, the sides do not satisfy the triangle.
Step-by-step explanation:
OK, so you can use either use the Pythagorean Theorem or the 45-45-90 Triangle Theorem to find the answer to the question. I am going to use both in this explanation to help you see how they can be used.
Pythagorean Theorem:
[tex]a^{2}+b^{2}=c^{2}[/tex]
45-45-90 Triangle Theorem:
a = b and [tex]c=a\sqrt{2}[/tex] or [tex]b\sqrt{2}[/tex]
Use Pythagorean Theorem:
So [tex]a=2\sqrt{3}[/tex], [tex]b=2\sqrt{3}[/tex], and [tex]c=6[/tex].
[tex](2\sqrt{3})^{2}+(2\sqrt{3})^{2}=6^{2}[/tex] ?
(4×3) + (4×3) = 36 ?
12 + 12 ≠ 36
24 ≠ 36
Sides do not satisfy the triangle.
Use 45-45-90 Triangle Theorem:
[tex]6=2\sqrt{3} \sqrt{2}[/tex] ?
[tex]6=2\sqrt{6}[/tex] ? no
Sides do not satisfy the triangle.
