triangle a and b are similar the ratio of a side of triangle b to a corresponding sid of triagle a is 5.3 the lengths of the sides of triangle a a are 18ft, 27ft and 30ft find the perimeter of triangle b
To find the perimeter of triangle B, we first need to find the lengths of its corresponding sides. Since triangle B is similar to triangle A, we can use the given ratio to find the lengths.
Let's denote the sides of triangle B as x, y, and z.
Using the ratio 5.3, we can set up the following proportion:
x/18 = 5.3/1
Cross-multiplying, we get:
x = 18 * 5.3 = 95.4 ft
Similarly, we can find the lengths of the other two sides:
y/27 = 5.3/1
y = 27 * 5.3 = 143.1 ft
z/30 = 5.3/1
z = 30 * 5.3 = 159 ft
Now that we have the lengths of all three sides of triangle B (x = 95.4 ft, y = 143.1 ft, and z = 159 ft), we can find the perimeter by adding them:
Perimeter of triangle B = x + y + z
Perimeter of triangle B = 95.4 ft + 143.1 ft + 159 ft
Perimeter of triangle B = 397.5 ft
Therefore, the perimeter of triangle B is 397.5 ft.
To find the perimeter of triangle B, we need to know the lengths of all three sides of triangle B. We can use the given ratio to find the corresponding side lengths in triangle B.
Given:
Ratio of a side of triangle B to a corresponding side of triangle A = 5.3
Lengths of sides of triangle A:
Side AB = 18 ft
Side AC = 27 ft
Side BC = 30 ft
To find the corresponding side lengths in triangle B, we multiply each length in triangle A by the ratio:
Side AB in triangle B = Side AB in triangle A * Ratio
Side AC in triangle B = Side AC in triangle A * Ratio
Side BC in triangle B = Side BC in triangle A * Ratio
Calculating the corresponding side lengths in triangle B:
Side AB in triangle B = 18 ft * 5.3 = 95.4 ft
Side AC in triangle B = 27 ft * 5.3 = 143.1 ft
Side BC in triangle B = 30 ft * 5.3 = 159 ft
Now that we have the lengths of all three sides in triangle B, we can find the perimeter by adding them together:
Perimeter of triangle B = Side AB + Side AC + Side BC
= 95.4 ft + 143.1 ft + 159 ft
= 397.5 ft
Therefore, the perimeter of triangle B is 397.5 ft.