SIMILAR TRIANGLES AND
 INDIRECT MEASUREMENT WORKSHEET

Find the unknown variable in the given pair of similar triangles.

Problem 1 :

indirect-measurement-q1

Solution

Problem 2 :

indirect-measurement-q2.png

Solution

Problem 3 :

indirect-measurement-q3.png

Solution

Problem 4 :

indirect-measurement-q4

Solution

Problem 5 :

indirect-measurement-q5

Solution

Problem 6 :

indirect-measurement-q6

Solution

Problem 7 :

indirect-measurement-q7

Solution

Problem 8 :

indirect-measurement-q8

Solution

Answer Key

1)  h = 4.2

2)  h = 40

3)  x = 6

4)  d = 103.33

5)  d = 12

6)  h = 9

7)  d = 12

8)  d = 90.37

Problem 1 :

Use similar triangles to find the height of the building.

similar-triangle

Solution

Problem 2 :

Use similar triangles to find the height of the tree.

similar-triangle-q1

Solution

Problem 3 :

A lamppost casts a shadow that is 15 yards long. A 3 foot tall mailbox casts a shadow that is 5 yards long. How tall is the lamppost?

Solution

Problem 4 :

An 8 foot tall statue stands in the park and casts a shadow that is 16 feet long. A dog stands next to it and is 3 feet tall. How long is the dog's shadow?

Solution

Problem 5 :

A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 meters long. How tall is the building?

Solution

Problem 6 :

On a sunny day around noon, a tree casts a shadow that is 12 feet long. At the same time, a person who is 6 feet tall standing beside the tree casts a shadow that is 2 feet long. How tall is the tree?

Solution

Answer Key

1)  So, height of the larger triangle is 18 ft.

2)  So, height of the larger tree is 27 m.

3)  So, the lamppost is 9 yards.

4)  So, length of the dog's shadow is 6 feet.

5)  So, height of the building is 35 meters.

6)  So, height of the tree is 36 feet.

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