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What is the real life application about similarity betwee...
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WinpossibleUser3680
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what is the Real Life Application about Similarity BEtween Triangle
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Responses
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Triangles are similar if they have the same shape, but can have different sizes. The triangles are also considered to be similar when if for each angle in one triangle there is an equivalent angle in the other triangle.
Applications:
Similar triangles can be used in many situations in which angles of two differently-sized triangles are the same. Like Optics, scale modeling, trigonometry, Ratio and Proportions, surveying, astronomy, and many other applications of mathematics rely on the concept of similarity.
Let us take an example from the above stated Ratio and Proportions (real life application) to understand more about similarity between triangles : |
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by
Winpossible
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Aug 28, 10 07:45AM PST
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Adding more to above explanation :
A building casts a 21 foot shadow along the ground. A 12 inch ruler casts a 3 inch shadow. How tall is the building?
The building's height is AB, and the ruler's height is DE. The building's shadow is BC, and the ruler's shadow is EF. Similar triangles tells us that AB/DE = BC/EF, and we want to find AB.
So rearrange the equation:
AB = DE × BC/EF.
Convert the ruler's dimensions to feet (1 foot ruler, 0.25 foot shadow) and solve.
21'
1' x ------- = 84'
0.25'
The building is 84 foot tall.
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by
Winpossible
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Aug 28, 10 07:50AM PST
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Adding more to above explanation :
A building casts a 21 foot shadow along the ground. A 12 inch ruler casts a 3 inch shadow. How tall is the building?
The building's height is AB, and the ruler's height is DE. The building's shadow is BC, and the ruler's shadow is EF. Similar triangles tells us that AB/DE = BC/EF, and we want to find AB.
So rearrange the equation:
AB = DE × BC/EF.
Convert the ruler's dimensions to feet (1 foot ruler, 0.25 foot shadow) and solve.
1' x 21’/0.25’ = 84'
The building is 84 foot tall.
Realted video lessons
Enroll in our Homework help courses
Submit more questions by clicking on Ask Questions on top right.
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by
Winpossible
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Aug 28, 10 08:27AM PST
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