Find the total area of the two triangles by two different methods if ACD and BCE are straight lines .
What are the lengths PC and CQ?
The triangles are re-drawn keeping the total area the same and keeping the distances between the green parallel lines as 3 cm and BD = 4 cm.
What other values can x and y take if the area is always the same?
This activity is adapted from the NRICH task Kissing Triangles with permission of the University of Cambridge. All rights reserved.