Question

determine whether the given numbers represent the lengths of sides of a right triangle. 122,126,26 do the given numbers represent the lengths of the sides of a right triangle? no yes

Explanation:

Step1: Identify the longest side

The longest side among \(122\), \(126\), \(26\) is \(126\).

Step2: Apply the Pythagorean theorem

According to the Pythagorean theorem, for a right - triangle with sides \(a\), \(b\), \(c\) (\(c\) is the longest side), \(a^{2}+b^{2}=c^{2}\).
Let \(a = 26\), \(b=122\), \(c = 126\).
Calculate \(a^{2}+b^{2}\):
\(a^{2}+b^{2}=26^{2}+122^{2}=676 + 14884=15560\)
Calculate \(c^{2}\):
\(c^{2}=126^{2}=15876\)

Since \(15560
eq15876\) (i.e., \(26^{2}+122^{2}
eq126^{2}\))

Answer:

No