GB-36-01-001 · Similar lengths

Two triangles are similar. Corresponding sides have lengths 12 cm and 22 cm. A second side of the smaller triangle is 10 cm. Find the corresponding side of the larger triangle to 2 decimal places.

Similar Triangles (Scale Factor Table) Booklet p. 41

Method

1) Put corresponding measurements in an L.A.V table (or L.L for two lengths)

2) Length factor r, area factor r², volume factor r³

3) Multiply from small to large; divide in reverse

Worked Example (GB-36-01-001)

Dimension	Small	Scale factor: small → large	Large
L	12	$\frac{11}{6}$	22
L	10	$\frac{11}{6}$	$10\times\frac{11}{6}=18.33$

Ans = 18.33 cm