I was working on a right triangle problem which had the following two measurements for two of its legs - 8 and 10.
I immediately thought special right triplet: 3-4-5. However, the answer stated that was incorrect and that leveraging pythagarus theorem - I would get the correct missing side measurement which was approx 13.
I just want to confirm that the special right triplets we learned in school only hold when the largest triplet is appropriately assigned to the hypotenuse otherwise it would violate the rule of two sides in a right triangle have to always be greater than the missing side? Thank you so much!
Hint: Pythagorean theorem states that $$a^2 + b^2 = c^2$$ where $a$ and $b$ are the lengths of the legs of the right triangle, while $c$ is the length of the hypotenuse.
Now, what information are you given in the problem? What unknown are you required to find?