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By the Pythagorean Theorem, c2=a2+b2c^2 = a^2 + b^2. With legs a=9a = 9 and b=12b = 12, compute 92+122=81+144=2259^2 + 12^2 = 81 + 144 = 225. Take the positive square root (hypotenuse is a length): c=225=15c = \sqrt{225} = 15. Thus, option C is correct. This (9,12,15)(9,12,15) set is a scaled version of the well-known primitive triple (3,4,5)(3,4,5) multiplied by 3, a helpful recognition to speed up testing. PERT Math includes right-triangle problems to assess geometric reasoning and familiarity with common triples. Typical pitfalls include adding legs then squaring, or forgetting to square both legs before adding. Checking reasonableness helps: the hypotenuse must be longer than either leg (15 > 12), so options like 13 can be plausible but require calculation; 21 would be too large for these legs. Comfort with these patterns accelerates problem solving under time constraints.

✅ Batch 7 (Questions 61–70) completed.

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Batch 8: Questions 71–80