SOLUTION: 1)Triangle MNP is similar to Triangle RST. MN = 6cm, NP = 9cm, RS = 4cm, RT = 6cm. Find the length of ST. 2).One triangle has measurements of 10 cm, 8 cm and 10 cm. A second t

Question 767643: 1)Triangle MNP is similar to Triangle RST. MN = 6cm, NP = 9cm, RS = 4cm, RT = 6cm. Find the length of ST.

2).One triangle has measurements of 10 cm, 8 cm and 10 cm. A second triangle has measurements of 8 cm, 6.4 cm and 8 cm. Are the triangles similar? Justify your answer

3)While on a train journey through northern Ontario, a passenger was curious about the height of the train. At one of the stops, she noticed that a passenger was standing next to the train. She knew his height, and knew she could measure the length of his shadow and that of the train's. The passenger was 1.8 m tall, casting a shadow 0.6 m long. The shadow of the train was 2.4 m long. Use the principles of similar triangles to find the height of the train. Show your calculations
Answer by arKed(27) (Show Source): You can put this solution on YOUR website!
Similar triangles
a1/a2 = b1/b2 = c1/c2
1.)MN = 6cm, NP = 9cm, RS = 4cm, RT = 6cm, ST = ?
Sol'n: ST = ?
6/4 = MP/4 =9/ST
1.5= 1.5 =1.5
therefore 9 / 1.5 = 6cm(ST)
2.) Yes.
10/8 = 8/6.4 = 10/8
1.25 = 1.25 = 1.25
3.) 1.8/0.6 = ?/2.4
3 = 3
height of the train:
3*2.4 = 7

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