Question

determine which set of side measurements could be used to form a right triangle.
6,4,8
4,13,15
16,8,18
6,8,10

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side.

Step2: Check each set

• For \(6,8,10\):

\(6^{2}+8^{2}=36 + 64=100\), and \(10^{2}=100\). So \(6^{2}+8^{2}=10^{2}\).

• For \(16,8,18\):

\(16^{2}+8^{2}=256+64 = 320\), and \(18^{2}=324\). So \(16^{2}+8^{2}
eq18^{2}\).

• For \(4,13,15\):

\(4^{2}+13^{2}=16 + 169=185\), and \(15^{2}=225\). So \(4^{2}+13^{2}
eq15^{2}\).

• For \(6,4,8\):

\(4^{2}+6^{2}=16+36 = 52\), and \(8^{2}=64\). So \(4^{2}+6^{2}
eq8^{2}\).

Answer:

\(6,8,10\)