Similar Triangles

Triangle Diagram

Question

The diagram shows a pair of similar triangles, with corresponding angles marked. 

Calculate the values of X & Y.

Answer

ΔABC is similar to ΔDEF

Y/9 = 8/6

So: 

Y=12cm

8/10 = 6/X

X = 7.5cm (Remember Units)

Y = 12cm          X = 7.5cm