1103059601 | math4u.vsb.cz

SubArea:

Positional properties

Level:

Project ID:

1103059601

Source Problem:

Accepted:

1

Clonable:

1

Easy:

0

Let

A B C D V

be a rectangle based-pyramid and

V

its apex. The pyramid is sliced by a plane

E F G

which is defined by:

\begin{aligned} E & \in B C \land | B E | = 2 | C E |, \\ F & \in A V \land | A F | = 2 | V F |, \\ G & \in D V \land | D G | = 2 | V G | \end{aligned}

(see the picture). What is the cross-section of the pyramid if we slice it with the plane

E F G

?

a trapezium

B C G F

a triangle

E F G

a triangle

A E V

a pentagon

A B E G F