Question

Help me find weather or not these sides satisfy the triangle

Answer 1

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:

$a^{2}+b^{2}=c^{2}$

45-45-90 Triangle Theorem:

a = b and $c=a\sqrt{2}$ or $b\sqrt{2}$

Use Pythagorean Theorem:

So $a=2\sqrt{3}$, $b=2\sqrt{3}$, and $c=6$.

$(2\sqrt{3})^{2}+(2\sqrt{3})^{2}=6^{2}$ ?

(4×3) + (4×3) = 36 ?

12 + 12 ≠ 36

24 ≠ 36

Sides do not satisfy the triangle.

Use 45-45-90 Triangle Theorem:

$6=2\sqrt{3} \sqrt{2}$ ?

$6=2\sqrt{6}$ ? no

Sides do not satisfy the triangle.