Question

Help me find weather or not these sides satisfy the triangle

Answer 1

No, the sides do not satisfy the triangle.

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√(2)` or
`b√(2)`

Use Pythagorean Theorem:

So
`a=2√(3)`,
`b=2√(3)`, and
`c=6`.

`(2√(3))^(2)+(2√(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√(3) √(2)` ?

`6=2√(6)` ? no

Sides do not satisfy the triangle.