2023 AMC 10B Problems/Problem 17

Solution

$[asy] import geometry; pair A = (-3, 4); pair B = (-3, 5); pair C = (-1, 4); pair D = (-1, 5); pair AA = (0, 0); pair BB = (0, 1); pair CC = (2, 0); pair DD = (2, 1); draw(D--AA,dashed); draw(A--B); draw(A--C); draw(B--D); draw(C--D); draw(A--AA); draw(B--BB); draw(C--CC); draw(D--DD); // Dotted vertices dot(A); dot(B); dot(C); dot(D); dot(AA); dot(BB); dot(CC); dot(DD); draw(AA--BB); draw(AA--CC); draw(BB--DD); draw(CC--DD); [/asy]$

The diagonal of the box is

$\begin{align*} \sqrt{a^+b^2+c^2}&= \end{align*}$

~Technodoggo

Page

Toolbox

Search

2023 AMC 10B Problems/Problem 17

Solution