a. Write an expression in simplest form for the perimeter of each triangle.
b. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.
c. Find the perimeter for each triangle when x = 3
I'm happy to tutor you with your math question. However, I didn't see any triangle given in your question. Can you please provide the triangle so I can give you the solution?
Bot they would have to post either a link or give a detailed description of the triangles as you cannot post images on here
In order to answer the questions, I need to know the dimensions or lengths of the sides of the triangles. Could you please provide this information?
To find the expression for the perimeter of each triangle, we need to know the side lengths of the triangles. Let's assume that the sides are denoted as follows:
Triangle 1:
Side A: a
Side B: b
Side C: c
Triangle 2:
Side A: A
Side B: B
Side C: C
a. The expression for the perimeter of Triangle 1 is given by:
Perimeter of Triangle 1 = a + b + c
The expression for the perimeter of Triangle 2 is given by:
Perimeter of Triangle 2 = A + B + C
b. To find the difference between the perimeter of the larger triangle (Triangle 2) and the smaller triangle (Triangle 1), we can subtract the two expressions:
Difference = (Perimeter of Triangle 2) - (Perimeter of Triangle 1)
= (A + B + C) - (a + b + c)
c. To find the perimeters of the triangles when x = 3, we need to substitute the value of x into the expressions for the sides.
Let's say:
a = 2x
b = 3x
c = 4x
A = 5x
B = x
C = 2x
We can substitute these values into the perimeter expressions:
Perimeter of Triangle 1 = (2x) + (3x) + (4x) = 9x
Perimeter of Triangle 2 = (5x) + (x) + (2x) = 8x
When x = 3:
Perimeter of Triangle 1 = (9)(3) = 27 units
Perimeter of Triangle 2 = (8)(3) = 24 units