1 / 22

Similar Triangles

Similar Triangles. What does similar mean?. Similar —the same shapes, but different sizes (may need to be flipped or turned). 6 ft 6 ft. 4 ft 8ft. 4 ft 8ft. 12 ft 3ft . To find the missing side of a triangle:.

finna
Download Presentation

Similar Triangles

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Similar Triangles

  2. What does similarmean? • Similar—the same shapes, but different sizes (may need to be flipped or turned) 6 ft 6 ft 4 ft 8ft 4 ft 8ft 12 ft 3ft

  3. To find the missing side of a triangle: • Find corresponding sides of each triangle that you know the measurements for. • Find the measurement of the side that corresponds with the missing side. • Set up a proportion and solve for the variable. A = X=4 The missing side measures 4 ft. D 16 ft x = F E C B 12 ft 3 ft

  4. Find the missing side s:

  5. Find the length of side EF: 6.5

  6. Find the length of the missing side:

  7. The lengths of each line segment are: • AB = 5 • CA= 6 • BD= 10 • CE= 12 • DE= 24 • Find the length of BC Note: Figures are not drawn to scale.

  8. Find the missing side: 1.8 in x in 5 in 3 in

  9. BD= 8 DA= 20 AC= x EC= 10 EB= 4 DE= 6

  10. Word Problems A tower casts a shadow of 64 feet. A 6-foot tall pole near the tower casts a shadow 8 feet long. How tall is the tower?

  11. A flag pole casts a shadow 3 meters long. A woman near the pole casts a shadow 0.75 meters long. The woman is 1.5 meters tall. How tall is the flag pole?

  12. A magnolia tree measures 25 feet tall. The sun casts a shadow of the tree that measures 42 feet long. A small dogwood tree nearby casts a shadow of 20 feet. What is the height of the dogwood tree?

  13. A building casts a 103-foot shadow at the same time that a 32-foot flagpole casts as 34.5-foot shadow. How tall is the building? (Round your answer to the nearest tenth.)

  14. Michelle wants to determine the height of a flag pole outside of her school. She places a meter stick next to the flag pole and measures the shadow of the meter stick and flag pole. If the meter stick has a shadow of 140 cm and the flag pole has a shadow of 37.8 meters, how tall is the flag pole? *Hint: 1 meter=100 cm

  15. Find the missing side: 60.2 x 7 5 17.2 2

  16. A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?

  17. A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow

  18. A 40-foot flagpole casts a 25-foot shadow. Find the shadow cast by a nearby building 200 feet tall.

  19. A tower casts a shadow 7 m long. A vertical stick casts a shadow 0.6 m long. If the stick is 1.2 m high, how high is the tower?

  20. A girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post? x 90 cm 360 cm 160 cm

  21. The lengths of each line segment are: • AB = 4 in • CA= 6 in • BD= 3 in • CE= 4.5 in • BC= 5 in • Find the length of DE Note: Figures are not drawn to scale.

  22. BONUS QUESTION!!! A tree with a height of 4m casts a shadow 15 m long on the ground. How high is another tree that casts a shadow which is 2,000 cm long? Hint: 1 m = 100 cm

More Related