Question

do the lengths form a right triangle? 6, 8, 10

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (the longest side). Let \(a = 6\), \(b = 8\), \(c = 10\).
Calculate \(a^{2}+b^{2}\): \(6^{2}+8^{2}=36 + 64=100\).
Calculate \(c^{2}\): \(10^{2}=100\).

Answer:

Yes, the lengths \(6\), \(8\), \(10\) form a right - triangle.