Similar Triangles What does similar mean Similarthe same

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 8 ft 4 ft 8 ft 12 ft 3 ft

To find the missing side of a triangle: 1) Find corresponding sides of each triangle that you know the measurements for. 2) Find the measurement of the side that corresponds with the missing side. 3) Set up a proportion and solve for the variable. A X=4 The missing side measures 4 ft. D 16 ft B 12 ft x C E 3 ft F

Find the missing side s:

• Find the length of side EF: 6. 5

• Find the length of the missing side:

• • • 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.

Find the missing side: 1. 8 in x in 5 in 3 in

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

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?

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?

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?

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. )

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

Find the missing side: 60. 2 x 17. 2 7 5 2

• 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?

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

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

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?

• 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 160 cm 90 cm 360 cm

• • 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.

BONUS QUESTION!!! A tree with a height of 4 m 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