Difference between revisions of "2024 AMC 12B Problems/Problem 22"
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− | + | ==Problem 22== | |
+ | Let <math>\triangle{ABC}</math> be a triangle with integer side lengths and the property that <math>\angle{B} = 2\angle{A}</math>. What is the least possible perimeter of such a triangle? | ||
+ | |||
+ | <math> | ||
+ | \textbf{(A) }13 \qquad | ||
+ | \textbf{(B) }14 \qquad | ||
+ | \textbf{(C) }15 \qquad | ||
+ | \textbf{(D) }16 \qquad | ||
+ | \textbf{(E) }17 \qquad | ||
+ | </math> | ||
+ | |||
+ | ==Solution 1== | ||
+ | |||
+ | We will use typical naming for the sides and angles of the triangle, that is <math>AB=</math> |
Revision as of 03:30, 14 November 2024
Problem 22
Let be a triangle with integer side lengths and the property that . What is the least possible perimeter of such a triangle?
Solution 1
We will use typical naming for the sides and angles of the triangle, that is