Each side of the triangle shown has the same length. If the perimeter of the triangle is 49 inches, the length of each side
is 3 inches. true or false
If each side was 3 inches, the perimeter would be:
P = 3 + 3 + 3 = 9 inches.
Answer: False.
To determine whether the statement is true or false, we can use the given information to calculate the length of each side of the triangle.
The given statement states that each side of the triangle has the same length. Let's assume the length of each side is "x" inches.
The perimeter of a triangle is calculated by adding the lengths of all three sides together. According to the given information, the perimeter is 49 inches.
Since each side has the same length, we can express the perimeter as 3x (3 sides multiplied by the length "x").
So, we have the equation: 3x = 49.
Now, we can solve for "x" by dividing both sides of the equation by 3:
3x/3 = 49/3.
This simplifies to: x = 49/3.
To determine the exact value of x, we evaluate the division:
x ≈ 16.33.
Therefore, the length of each side of the triangle is approximately 16.33 inches, not 3 inches.
Hence, the given statement is false.