Given:
One midsegment of an equilateral triangle.
To find:
The ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths.
Solution:
All sides of an equilateral triangle are same.
Let a be the each side of the equilateral triangle.
Length of the midsegment is equal to the half of the non included side or third side.
![Midsegment=\dfrac{a}{2}](https://tex.z-dn.net/?f=Midsegment%3D%5Cdfrac%7Ba%7D%7B2%7D)
The sum of two side is
![a+a=2a](https://tex.z-dn.net/?f=a%2Ba%3D2a)
Now, the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths is
![\text{Required ratio}=\dfrac{\text{Length of midsegment}}{\text{sum of two sides}}](https://tex.z-dn.net/?f=%5Ctext%7BRequired%20ratio%7D%3D%5Cdfrac%7B%5Ctext%7BLength%20of%20midsegment%7D%7D%7B%5Ctext%7Bsum%20of%20two%20sides%7D%7D)
![\text{Required ratio}=\dfrac{\dfrac{a}{2}}{2a}](https://tex.z-dn.net/?f=%5Ctext%7BRequired%20ratio%7D%3D%5Cdfrac%7B%5Cdfrac%7Ba%7D%7B2%7D%7D%7B2a%7D)
![\text{Required ratio}=\dfrac{a}{4a}](https://tex.z-dn.net/?f=%5Ctext%7BRequired%20ratio%7D%3D%5Cdfrac%7Ba%7D%7B4a%7D)
![\text{Required ratio}=\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Ctext%7BRequired%20ratio%7D%3D%5Cdfrac%7B1%7D%7B4%7D)
![\text{Required ratio}=1:4](https://tex.z-dn.net/?f=%5Ctext%7BRequired%20ratio%7D%3D1%3A4)
Therefore, the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths is 1:4.
Step-by-step explanation:
∠2 and ∠7 are alternate exterior angles so they are equal.
So you can create the equation
40x-48 = 20x+52 Subtract 20x from both sides. Add 48 to both sides.
20x = 100
x = 5
if you need m∠2 Substtute 5 for x in 20x+52
20(5) + 52 = 100 +52 m∠2= 152°
m∠7 40(5) - 48 = 200-48 m∠7= 152°
Answer:
57 rounded
Step-by-step explanation:
24.12
2.4
4 times every number then 2 times every number then add those and get the answer and remember when you multiply the two add a zero then multriply
Answer:
Lilly only needed to cut off 15 feet.
Step-by-step explanation:
1 yard = 3 feet. Luna cut 5 yards, so she cut 15 feet off. Lilly, on the other hand, cut off 17 feet.
Answer:
so if you offer 20% off of 1,049 you get 209.8. If the tax is 4.25% then do the math -._-. (thinking)... 200.8835 and just do the lil bit of math to find your answer.
Step-by-step explanation: