Using your knowledge of common Pythagorean triples or otherwise, is $\left(15,8,17\right)$(15,8,17) a Pythagorean triple?
Peter knows the two smallest numbers in a Pythagorean triple, which are $3$3 and $4$4. What number, $c$c, does Peter need to complete the triple?
If $3$3 and $4$4 are the two smallest values in a Pythagorean triple, what is the largest value, $c$c, in the triple?
Solve problems using the Pythagorean theorem, as required in applications (e.g., calculate the height of a cone, given the radius and the slant height, in order to determine the volume of the cone)