Question

is a triangle with these sides a right triangle? 18, 24, 32 no yes

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side. Let \(a = 18\), \(b=24\), \(c = 32\).
Calculate \(a^{2}+b^{2}\): \(18^{2}+24^{2}=324 + 576=900\)
Calculate \(c^{2}\): \(32^{2}=1024\)

Step2: Compare the values

Since \(900
eq1024\) (i.e., \(a^{2}+b^{2}
eq c^{2}\))

Answer:

no