Find the total area of the two red triangles by two different methods if ACD and BCE are straight lines .

What are the lengths PC and CQ?

The triangles are re-drawn with PC = x cm and CQ = y cm keeping the total area the same and keeping the distances between the green parallel lines as 3 cm and BD = 4 cm.

What is the value of y if x = 3 cm?

What other values can x and y take if the area is always the same?

Click here for the KISSING TRIANGLES Notes for Teachers.

Click here for the KISSING TRIANGLES worksheet.

This activity is adapted from the NRICH task Kissing Triangles with permission of the University of Cambridge. All rights reserved.

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