Similar Triangles, Sides, Perimeters, Areas

The length of the sides of two similar triangles are in the ratio of 2:3. If the area of the larger triangle is 45 cm², find the area of the smallest triangle.

• 30 cm²

• 15 cm²

• 10 cm²

• 20 cm²

If BD=16, AC=10 and DE=3, what is the perimeter of triangle ABC (add all sides of big triangle)

• 48

• 16

• 27

• 29

The ratio of the areas of two similar triangles is 4:9. What is the ratio of the perimeters?

• 4:9

• 2:3

• 16:81

• 9:4

The ratio of the sides of two similar triangles is 5:6. If the area of the smaller triangle is 50 km², what is the area of the larger triangle?

• 60 km²

• 72 km²

• 34.7 km²

• 42.7 km²

∆ABC∼∆XYZ. If the perimeter of ∆ABC is 36, the perimeter of ∆XYZ is 9, and AB=12 what is the length of XY?

• 3

• 1.33

• 48

• 192

What is the perimeter of triangle PQR?

• 34

• 17

• 289

• 8.5

Perimeter: add all three sides up of purple triangle

• 15

• 23

• 30

• 46

∆ABC∼∆XYZ. The ratio of side lengths is 3:1 and the perimeter of ∆ABC is 15, what is the perimeter of ∆XYZ?

• 15

• 5

• 3

• 9

∆ABC∼∆XYZ. The ratio of side lengths is 3:1 perimeter of ∆ABC is 15, what is the perimeter of ∆XYZ?

• 18

• 45

• 15

• 5

The sides of a triangle have lengths of 3, 4, and 5.  What is the length of the shortest side of a similar triangle that has a perimeter of 36?

• 12

• 9

• 3

• 15