Question

do the segment lengths 9, 12, and 15 form a right triangle?
yes
no

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 9\), \(b = 12\), \(c = 15\)

Step2: Calculate \(a^{2}+b^{2}\)

$$9^{2}+12^{2}=81 + 144=225$$

Step3: Calculate \(c^{2}\)

$$15^{2}=225$$

Step4: Compare results

Since \(9^{2}+12^{2}=15^{2}\), the segment lengths form a right triangle.

Answer:

Yes