Given:
The ratio of the measures of the three sides of a triangle is
.
Its perimeter is 31.4 centimeters
To find:
The shortest side of the triangle.
Solution:
Let the measures of the three sides of a triangle are
respectively (in cm).
Its perimeter is 31.4 centimeters.




On further simplification, we get


Divide both sides by 3.


Now, the sides of triangle are



Therefore, the length of the shortest side is 6.978 cm.
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slega [8]
Answer:
.
Step-by-step explanation:
<u>Answer:</u>
<u>For 1:</u> The first term is 10 and the common difference is 
<u>For 2:</u> The value of n is 27
<u>Step-by-step explanation:</u>
The n-th term of the progression is given as:

where,
is the first term, n is the number of terms and d is the common difference
The sum of n-th terms of the progression is given as:
![S_n=\frac{n}{2}[2a_1+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a_1%2B%28n-1%29d%5D)
where,
is the sum of nth terms
The 11th term of the progression:
.......(1)
Sum of first 4 numbers:
......(2)
Forming equations:

( × 8)
The equations become:


Solving above equations, we get:

Putting value in equation (1):
![25=a_1+10\frac{3}{2}\\\\a_1=[25-15]=10](https://tex.z-dn.net/?f=25%3Da_1%2B10%5Cfrac%7B3%7D%7B2%7D%5C%5C%5C%5Ca_1%3D%5B25-15%5D%3D10)
Hence, the first term is 10 and the common difference is 
The nth term is given as:

Solving the above equation:

Hence, the value of n is 27
Answer:
106
Step-by-step explanation:
angle c = 180-74 = 106
Triangle PQR is similar to triangle XYZ. What is the perimeter of triangle XYZ? Where is the picture