home Interactive Shape Think!
a1 a2 a3 a4
b1 b2 b3 b4
b1 b2 b3 b4
ks1 ks3 & ks4 Foundation
ks2 ks4 Higher
ks4 Higher What is the largest area possible for the yellow triangle?
Please enable Java for an interactive construction (with Cinderella).
You have to find the largest area that the yellow triangle can have.The dimensions marked 12 cm and 8 cm are fixed and the vertices M, N and O must remain on the sides of the rectangle shown (so that the triangle remains inside this rectangle. Change the positions of the vertices of the triangle. Sometimes the area may not change as you move a point. What is the largest area you can find?

Can you explain any of this?
The largest area is