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Starrysoul100

[tex]\bold{\huge{\underline{ Answer }}}[/tex]

Here , We have to create a real life problem which is based on the similar traingle.

Before creating a real life problem . It is important that you should know the basics of the theorem related to similar triangle .

  • Triangles are similar when their corresponding angles are equal and corresponding sides are in proportion.

There are three conditions that proves the given triangles are similar :-

  • If the corresponding angles of the both the triangles are equal . Then the two triangles are similar to each other known as AA or AAA criterion
  • If the two sides and one angle of both the triangle are equal to each other . Then the two triangles are similar to each other known as SAS criterion
  • If all the three sides of both the triangle are equal or having same ratios then both the triangle are similar to each other known as SSS criterion.

Let's Come to the real life problem

Suppose your teacher told you that the two apple trees in a school garden are similar to each other. Now, you are curious to know why both the trees are similar to each other. you have asked the same question to your teacher, She told you to work on the similar traingles theorem .

Solution :-

Let consider both the apple trees as tree 1 and tree 2

Given :-

  • The height of the tree 1 is 20 m and height of the tree 2 is 40 m
  • The shadow casted by both the trees, Tree 1 = 12 m and tree 2 = 24 m
  • The distance between the height and shadow of both the trees, Tree 1 = 30 m and Tree 2 = 60 m

By using similarity theorem

  • It states that two triangles are similar when the corresponding sides of both the triangles are in proportion or the corresponding angles of both the triangles are equal

That is,

[tex]\sf{\dfrac{ 20}{40}}{\sf{ = }}{\sf{\dfrac{12}{24}}}{\sf{=}}{\sf{\dfrac{ 30}{60}}}[/tex]

[tex]\sf{\dfrac{ 1}{2}}{\sf{ = }}{\sf{\dfrac{1}{2}}}{\sf{=}}{\sf{\dfrac{ 1}{2}}}[/tex]

From above we can conclude that,

Both the apple trees are similar to each other because all the three sides of both the apple trees are in proportion.

Ver imagen Starrysoul100

The conclusion is that both of the Orange trees are similar to each other because all the three sides of both the Orange trees are in proportion.

How to Solve Similarity Theorem?

Let consider both the Orange trees as tree 1 and tree 2

If we have:-

Height of the tree 1 = 20 m

Height of the tree 2 = 40 m

The shadow casted by Tree 1 = 12 m

The shadow casted by tree 2 = 24 m

The distance between the height and shadow of Tree 1 = 30 m.
The distance between the height and shadow of Tree 2 = 60 m

By using triangle similarity theorem, we have;

20/40 = 12/24 = 30/60 = 1/2

Read more about Similarity Theorem at; https://brainly.com/question/21247688

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