MathDB
2018 Individual #16

Source:

January 13, 2023
2018 Individual

Problem Statement

A triangle with area 60 units260\text{ units}^2 has vertices with coordinates of (15,x)(-15,x), (0,x)(0,x), and (25,0)(25,0). Find the largest possible value of xx.
<spanclass=latexbold>(A)</span>8<spanclass=latexbold>(B)</span>4<spanclass=latexbold>(C)</span>4<spanclass=latexbold>(D)</span>8<spanclass=latexbold>(E)</span>16<span class='latex-bold'>(A) </span> {-}8\qquad<span class='latex-bold'>(B) </span> {-}4\qquad<span class='latex-bold'>(C) </span> 4\qquad<span class='latex-bold'>(D) </span> 8\qquad<span class='latex-bold'>(E) </span> 16