Similar Triangles Word Problems

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10
• 12
• 15
• 18

Tags

CCSS.HSG.SRT.B.4

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 63 in., what is the length of the banner? 

• 84 in
• 71 in
• 47.25 in
• 80

Tags

CCSS.7.G.A.1

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?

• 9 m
• 15.2 m
• 12 m
• 17.5 m

Tags

CCSS.HSG.SRT.B.4

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet
• 72 feet
• 36 feet

Tags

CCSS.HSG.SRT.B.5

Find the height of the tree.

• 8 ft
• 12 ft
• 13 ft
• 15 ft

Tags

CCSS.HSG.SRT.B.5

How do these triangles appear to be similar?

• AA
• SAS
• SSS
• Not Similar

Tags

CCSS.HSG.SRT.B.5

How long is side x?

• 2 ft
• 3 ft
• 4 ft
• 6 ft

Tags

CCSS.HSG.SRT.A.2

If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?

• 41.7 ft
• 36.6 ft
• 34.6 ft
• 38.8 ft

Tags

CCSS.7.RP.A.3

Solve for x.

• 5

• 3

• 10

• 6

Pay close attention to the similarity statement to find corresponding parts of the triangles. Solve for x.

• 10

• 13

• 5

• 6