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Write an expression for the missing side of a triangle if the perimeter is 6a+3.
Side 6a+2
side 3a-1
side a
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The problem formulation is mathematically , and .
The correct formulation should ask
"find the parameter "a" and the lengths of the sides of the triangle
from the given info, and determine if such a triangle does exist".
First, we write an equation for the perimeter
(6a+2) + (3a-1) + a = 6a+3.
Next, we simplify it and find "a"
10a + 1 = 6a + 3,
10a - 6a = 3 - 1,
4a = 2,
a = 2/4 = 0.5.
Now we calculate the lengths of the sides
6a+2 = 6*0.5 + 2 = 5
3a - 1 = 3*0.5 - 1 = 0.5
Thus the sides are 5, 0.5 and 0.5.
But the triangle with such sides lengths does not exists, since the triangle inequalities are not satisfied.
ANSWER. Such triangle as described in the post, does not exist.
Solved, answered and explained.
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To have so illiterate composers/writers on your side of this forum
is the same as to allow driving a car to a person unfamiliar with driving rules.