Similar Figure Word Problems

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft

The pair of figures is similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

Find the height of the person using what you know about similar triangles.

• 4 ft

• 6.25 ft

• 1.25 ft

• 5.75 ft

The pair of figures is similar. Find the missing side.

• x = 1

• x = 3

• x = 9

• x = 5

Find missing side

• 5 m

• 7 m

• 9 m

• 11 m

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

The polygons are similar. Find x.

• x = 2

• x = 6

• x = 4 

• x = 8

The pair of figures are similar. Find the missing side.

• x = 11

• x = 4.5

• x = 5

• x =4

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12