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MATH / If the area of the triangle shown is 40, what is r? [asy]

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

If the area of the triangle shown is 40, what is rr? [asy] import graph; size(200); defaultpen(linewidth(0.8)); real xmin=0; real xmax=12; real ymin=0; real ymax=10; xlimits(xmin, xmax); ylimits(ymin, ymax); xaxis("xx",0,12,EndArrow); yaxis("yy",0,10,EndArrow); dot(Label("OO",align=SW),(0,0)); draw((0,8)--(10,0)); dot(Label("(0,8)(0,8)",align=E),(0,8)); dot(Label("(r,0)(r,0)",align=S),(10,0)); [/asy]
Plain-text mathematical notation (without MathML)
If the area of the triangle shown is 40, what is r? [asy]
import graph; size(200); defaultpen(linewidth(0.8));

real xmin=0;
real xmax=12;
real ymin=0;
real ymax=10;

xlimits(xmin, xmax);

ylimits(ymin, ymax);

xaxis("x",0,12,EndArrow);
yaxis("y",0,10,EndArrow);
dot(Label("O",align=SW),(0,0));
draw((0,8)--(10,0));
dot(Label("(0,8)",align=E),(0,8));
dot(Label("(r,0)",align=S),(10,0));
[/asy]
Original LaTeX notation
If the area of the triangle shown is 40, what is $r$? [asy]
import graph; size(200); defaultpen(linewidth(0.8));

real xmin=0;
real xmax=12;
real ymin=0;
real ymax=10;

xlimits(xmin, xmax);

ylimits(ymin, ymax);

xaxis("$x$",0,12,EndArrow);
yaxis("$y$",0,10,EndArrow);
dot(Label("$O$",align=SW),(0,0));
draw((0,8)--(10,0));
dot(Label("$(0,8)$",align=E),(0,8));
dot(Label("$(r,0)$",align=S),(10,0));
[/asy]

level

Level 1

type

Geometry

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Source and history

task_id
98d5190e-f978-582a-80b1-08a089d18311
task_key
geometry--test--98d5190e-f978-582a-80b1-08a089d18311
task_revision_id
1
config / split
geometry / test

Official source

initial import