Question: can we just use pythgoryms theorum?
1. The question asks if we can use the Pythagorean theorem.
2. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse $c$ is equal to the sum of the squares of the other two sides $a$ and $b$: $$c^2 = a^2 + b^2$$
3. This theorem applies only to right triangles.
4. To decide if we can use it, we need to confirm if the triangle in question is right-angled.
5. If the triangle is right-angled, then yes, we can use the Pythagorean theorem to find missing side lengths or verify the triangle's properties.
6. If the triangle is not right-angled, then the Pythagorean theorem does not apply, and other methods like the Law of Cosines should be used.
In summary, you can use the Pythagorean theorem only if the triangle is right-angled.