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15 votes
15 votes
Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?

A)

DF = 39 cm; DE = 15 cm

B)

DF = 48 cm; DE = 52 cm

C)

DF = 65 cm; DE = 25 cm

D)

DF = 52 cm; DE = 48 cm

Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides-example-1
User DianaBG
by
1.8k points

1 Answer

13 votes
13 votes

Answer:

D)

DF = 52

AB = 48

Explanation:

Use the two lengths of sides already given.

Divide to find the scale factor:

20 / 5 = 4

Scale factor: 4

Now multiply to find the unknown sides:

13 × 4 = 52

12 × 4 = 48

DF = 52

AB = 48

Hope this helped.

User Ishara Meegahawala
by
2.4k points