Triangle ABC is an equilateral triangle. Find the perimeter if one side is given.
Answers
Solution
Steps 1 & 2: Understand Question and Draw Inferences
We are given:
A triangle ABC.
We need to find its perimeter.
So, we need the length of all the sides of the triangle.
As we do not have any more relevant information, let us now analyse the statements.
Step 3: Analyse Statement 1
“AB = 16 inches”
From this information, we cannot find the answer to the question as we are not given the lengths of other two sides.
Thus, statement 1 is not sufficient to answer the question.
Step 4: Analyse Statement 2
“ΔABC is equilateral.”
For an equilateral triangle, the perimeter of the triangle = 3 × Side.
However, we do not know the length of the side of the triangle.
Thus, statement 2 is not sufficient to answer the question.
Step 5: Combine Both Statements Together (If Needed)
From Statement 1:
AB = 16 inches
From Statement 2:
Area of the triangle = 3 × Side.
By using both the statements, we can find the perimeter of the triangle.
Hence, we can find the answer by combining both the statements together.
Thus, the correct answer choice is option C.
Answer:
a=6 b=x c=x perimeter118
Step-by-step explanation:
we know that perimeter=a+b+c 18=6+X+X 18=6+2x 18-6=2x 12=2x 12÷2=x 6=x answer