<u>Answer:
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Billy Bob’s farm is 80 m north of his house. The farms pond is 120 m west of the house. So the distance between the pond and the farm is 144.42 m.
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Solution:
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From question, given that billy bob’s farm is 80 m north of his house and pond is 120 m west of the house.
The given can be represented using the diagram given below:
where,
“a” indicates the distance between the house and the pond
“b” indicates the distance between the house and the farm
“c” indicates the distance between the farm and the pond.
For a right angled triangle, by Pythagoras theorem,
![\bold{c^{2} = a^{2} + b^{2}}](https://tex.z-dn.net/?f=%5Cbold%7Bc%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%7D)
![c^{2} = 120^{2} + 80^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20120%5E%7B2%7D%20%2B%2080%5E%7B2%7D)
![c^{2} = 14400 + 6400](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%2014400%20%2B%206400)
= 20800
Taking square root on both sides, we get
![c = \sqrt{20800}](https://tex.z-dn.net/?f=c%20%3D%20%5Csqrt%7B20800%7D)
= 144.22 m
Hence the distance between the pond and farm is 144.22 m
Answer:
I think they are Similar Triangles
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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