Complete the following:
Describe one way that concepts about similarity could be used in real life.
Write two proportions in the form start fraction a over b end fraction equals start fraction c over d end fraction. Only one of your proportions should be a true equation. Do not state which equation is true and which is not true. Your classmates will have to determine this.
Give three possible side lengths for a triangle. For example, you could give the side lengths 3, 4, and 5.
At a certain time of day, a pole, 5 meters tall, casts a 3-meter
shadow.
a. The shadow of a building beside the pole is 18 meters long.
How tall is the building?
b. How long will the shadow of a 45-meter building be?
a. 5/3 = h/18.
3h = 90,
h = 30 m.
b. 45/s = 5/3.
S = 27 m.
One way that concepts about similarity could be used in real life is in map scaling. When creating maps, it is important to scale down the distances to fit onto a piece of paper or a screen. This is achieved by creating a similar triangle on the map to represent a real-life triangle. By maintaining the proportions between the corresponding sides of the triangles, accurate distances can be determined on the map.
Now, let's move on to the second part of your question. Here are two proportions:
1) start fraction 2 over 4 end fraction equals start fraction 8 over 16 end fraction
2) start fraction 3 over 5 end fraction equals start fraction 9 over 15 end fraction
One of these proportions is a true equation, while the other is not. It is up to your classmates to determine which one is true.
Lastly, you requested three possible side lengths for a triangle. Here are three examples:
1) Side lengths: 3, 4, 5
2) Side lengths: 6, 8, 10
3) Side lengths: 7, 24, 25
Remember, for a triangle to be valid, the sum of the lengths of any two sides must be greater than the length of the remaining side.