B. How can I find the sum of the perimeters of the large triangle and the small triangle? Provide the necessary steps, please explain thoroughly as I have been struggling to understand. Thank you very much for your help.
To find the sum of the perimeters of the large and small triangles, we need to calculate the perimeters of each triangle separately and then add them together.
1. Identify the information given: You need to have the measurements of the sides of both the large triangle and the small triangle. Assuming you have these measurements, let's proceed to find the perimeter.
2. Calculate the perimeter of the large triangle: The perimeter of a triangle is the sum of the lengths of its three sides. Add the lengths of the three sides of the large triangle together to find its perimeter.
3. Calculate the perimeter of the small triangle: Again, using the same principle, add the lengths of the three sides of the small triangle together to find its perimeter.
4. Add the perimeters together: Once you have calculated the perimeters of both triangles, simply add them together to find the sum of the perimeters.
Let's break down these steps with an example:
Suppose the lengths of the sides of the large triangle are 8 cm, 12 cm, and 15 cm, and the lengths of the sides of the small triangle are 5 cm, 7 cm, and 10 cm.
1. Calculate the perimeter of the large triangle:
Perimeter = 8 cm + 12 cm + 15 cm = 35 cm.
2. Calculate the perimeter of the small triangle:
Perimeter = 5 cm + 7 cm + 10 cm = 22 cm.
3. Add the perimeters together:
Sum of perimeters = 35 cm + 22 cm = 57 cm.
So, in this example, the sum of the perimeters of the large and small triangles is 57 cm.
Remember to substitute the actual measurements of the sides of your triangles in the given steps to find the precise sum of the perimeters.
To find the sum of the perimeters of the large triangle and the small triangle, you need to find the perimeter of each triangle separately and then add them together.
Step 1: Identify the lengths of the sides
To find the perimeter, you need to know the lengths of all the sides of each triangle. Let's assume the large triangle has side lengths a, b, and c (in any order), and the small triangle has side lengths x, y, and z (in any order).
Step 2: Calculate the perimeter of the large triangle
The perimeter of a triangle is the sum of the lengths of its sides. So, to find the perimeter of the large triangle, you add up the lengths of its three sides. The formula for the perimeter of a triangle is:
Perimeter = a + b + c
Step 3: Calculate the perimeter of the small triangle
Similar to the previous step, you add up the lengths of the sides of the small triangle to find its perimeter. The formula for the perimeter of a triangle is:
Perimeter = x + y + z
Step 4: Add the perimeters together
With the perimeters of the large and small triangles calculated, you simply add them together to find the sum of the perimeters:
Sum of Perimeters = Perimeter of Large Triangle + Perimeter of Small Triangle
= (a + b + c) + (x + y + z)
So, the sum of the perimeters of the large triangle and the small triangle is (a + b + c) + (x + y + z).
Make sure to substitute the appropriate values for a, b, c, x, y, and z in the final equation to calculate the actual sum of the perimeters.