Carter Lyons
08/23/2023 · Senior High School
2. Calculate the length of a side of an equilateral triangle if the perimeter is: \( \begin{array}{lll}\text { a) } 15 \mathrm{~cm} & \text { b) } 24 \mathrm{~cm}^{v} & \text { c) } 36 \mathrm{~cm} \\ \text { d) } 45 \mathrm{mV} & \text { e) } 900 \mathrm{~m} & \text { f) } 270 \mathrm{~mm}\end{array} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the length of a side of an equilateral triangle given its perimeter, you can use the formula:
\[
\text{Length of one side} = \frac{\text{Perimeter}}{3}
\]
Now, let's calculate the length of a side for each given perimeter:
a) For a perimeter of \( 15 \, \text{cm} \):
\[
\text{Length of one side} = \frac{15 \, \text{cm}}{3} = 5 \, \text{cm}
\]
b) For a perimeter of \( 24 \, \text{cm} \):
\[
\text{Length of one side} = \frac{24 \, \text{cm}}{3} = 8 \, \text{cm}
\]
c) For a perimeter of \( 36 \, \text{cm} \):
\[
\text{Length of one side} = \frac{36 \, \text{cm}}{3} = 12 \, \text{cm}
\]
d) For a perimeter of \( 45 \, \text{m} \):
\[
\text{Length of one side} = \frac{45 \, \text{m}}{3} = 15 \, \text{m}
\]
e) For a perimeter of \( 900 \, \text{m} \):
\[
\text{Length of one side} = \frac{900 \, \text{m}}{3} = 300 \, \text{m}
\]
f) For a perimeter of \( 270 \, \text{mm} \):
\[
\text{Length of one side} = \frac{270 \, \text{mm}}{3} = 90 \, \text{mm}
\]
In summary, the lengths of the sides for each perimeter are:
- a) \( 5 \, \text{cm} \)
- b) \( 8 \, \text{cm} \)
- c) \( 12 \, \text{cm} \)
- d) \( 15 \, \text{m} \)
- e) \( 300 \, \text{m} \)
- f) \( 90 \, \text{mm} \)
Quick Answer
- a) \( 5 \, \text{cm} \)
- b) \( 8 \, \text{cm} \)
- c) \( 12 \, \text{cm} \)
- d) \( 15 \, \text{m} \)
- e) \( 300 \, \text{m} \)
- f) \( 90 \, \text{mm} \)
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