Respuesta :
your answer is 16 because if you divide 48 by your three sides the answer becomes 16.
The three sides of the triangle is 13 inches, 17 inches, and 18 inches.
Given,
The perimeter of a triangle is 48 inches.
The second side is four inches longer than the first side.
The third side is one inch longer than the second.
What is the perimeter of a triangle?
If we add all the three sides of a triangle we get its perimeter.
If a, b and c are the three sides of a triangle.
Perimeter of a triangle = a + b + c
We have,
Perimeter of a triangle = 48 inches.
Let,
First side of a triangle = A
Second side of the triangle = B
Third side of the triangle = C
"The second side is four inches longer than the first side".
We can write this as,
B = 4 inches + A ______(1)
"The third side is one inch longer than the second side"
C = 1 inch + B _______(2)
Finding the perimeter of the triangle.
Perimeter of the triangle = 48 inches
48 = A + B + C
48 = A + ( 4 + A ) + ( 1 + B ) From (1) and (2)
48 = A + A + B + 5
48 = 2A + B + 5
48 = 2A + 4 + A + 5
48 = 3A + 9
48 - 9 = 3A
39 = 3A
A = 39 / 3
A = 13 inches.
Now,
A = 13 inches.
B = 4 inches + A
B = 4 + 13
B = 17 inches.
C = 1 + B
C = 1 + 17
C = 18 inches.
Thus the three sides of the triangle is 13 inches, 17 inches, and 18 inches.
Learn more about triangles here:
https://brainly.com/question/14366937
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