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7.7.4 Practice: Modeling: Similarity Theorems will give brainliest

774 Practice Modeling Similarity Theorems Will Give Brainliest class=

Sagot :

MrRoyal

Similar triangles may or may not be congruent

  • The height of the peak is 72 feet
  • The triangles are similar by AA similarity postulate

How to determine the similarity statement

First, we determine the height of the peak using the following equivalent ratios

P B :  B M = T F : F M

So, we have:

[tex]PB : 20ft= 6ft : 1ft\ 8in[/tex]

Express the units in inches

[tex]PB : 240in= 72in: 20in[/tex]

Express as fractions

[tex]\frac{PB}{240} = \frac{72}{20}[/tex]

Multiply both sides by 240

[tex]PB = \frac{72 * 240}{20}[/tex]

[tex]PB = 864[/tex]

Express as feet

[tex]PB = 72 feet[/tex]

So, the height of the peak is 72 feet

The ratio also means that the triangles are similar by AA similarity postulate

Read more about similar triangles at:

https://brainly.com/question/14285697

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