MathDB
Triangle Inequalities

Source: 2015 AMC12B #10

February 26, 2015
inequalitiesgeometryperimeterAMC

Problem Statement

How many noncongruent integer-sided triangles with positive area and perimeter less than 1515 are neither equilateral, isosceles, nor right triangles?
<spanclass=latexbold>(A)</span>3<spanclass=latexbold>(B)</span>4<spanclass=latexbold>(C)</span>5<spanclass=latexbold>(D)</span>6<spanclass=latexbold>(E)</span>7<span class='latex-bold'>(A) </span>3\qquad<span class='latex-bold'>(B) </span>4\qquad<span class='latex-bold'>(C) </span>5\qquad<span class='latex-bold'>(D) </span>6\qquad<span class='latex-bold'>(E) </span>7