SIMILAR TRIANGLES

Question

Find the indicated side of each pair of similar triangles. *show your work*

1) Triangle ABC: side BC = 1

Triangle DEF: side EF = 3.

If side AC = 2, find side DF.

2) Triangle JKL: side JK = 4

Triangle MNO: side MN = 10.

If side JL = 8, find side MO.

Answer 1

In similar triangles corresponding side lengths have the same ratio.

BC and EF are corresponding sides of ratio 1:3. So AC and DF sides will have the same ratio:

2 = 1

--- ----

DF 3

DF = 6

JK and MN are corresponding sides of ratio 4:10 = 2:5 so JL and MO will have the same ratio:

8 = 2

--- ----

MO 5

MO = 20