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
