1. Let's clarify the problem: You mentioned the answer to the first question was 6, 8, 10.
2. These numbers (6, 8, 10) form a Pythagorean triple, which means they satisfy the Pythagorean theorem: $$6^2 + 8^2 = 10^2$$.
3. Calculate each square:
$$6^2 = 36$$
$$8^2 = 64$$
$$10^2 = 100$$
4. Sum the squares of the two smaller numbers:
$$36 + 64 = 100$$
5. Since the sum equals the square of the largest number, the triple (6, 8, 10) is a right triangle.
6. Therefore, the answer 6, 8, 10 is correct for a problem involving right triangles or Pythagorean triples.
Pythagorean Triple
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.