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2026 AMC 10A Problem 14

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2026 AMC 10A Problem 14AMC 10 Step by Step

Name: Date: November 10, 2026

Triangles: Area & Pythagorean · difficulty 3 of 5 · about 4 min · position P11-15

Consider a triangle with positive area whose side lengths are functions of $t$ given by $a = t^2 + 1$ , $b = 5t + 7$ , and $c = 4t + 4$ . How many different integer values of $t$ are possible?

A) $0$
B) $7$
C) $9$
D) $10$
E) $\text{ infinitely many}$

2026 AMC 10A Problem 14

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