A triangle has sides 12 ft, 14 ft, and 20 feet. The smallest side of another similar triangle measures 8 ft. What is the perimeter of the smaller triangle.

Well, it seems like those triangles are just small and big siblings, playing some side games. But don't worry, I've got you covered!

Since the small triangle's smallest side measures 8 ft, and it is similar to the big triangle, you can use the concept of similarity to find the ratios between the sides.

Let's call the perimeter of the small triangle "P". In this case, we can set up a proportion:

(12/20) = (8/P)

To solve for P, we can cross-multiply:

12P = 8 * 20

12P = 160

Dividing both sides by 12:

P = 160/12

P ≈ 13.33 ft

So, the perimeter of the smaller triangle is approximately 13.33 feet!

To find the perimeter of the smaller triangle, we need to determine the ratio between the sides of the two triangles. Since the smaller triangle is similar to the larger triangle, the corresponding sides are in proportion.

By comparing the smallest side of the smaller triangle to the smallest side of the larger triangle, we can set up the following proportion:

8 ft / 12 ft = x / 20 ft

To solve for x, we cross-multiply:

8 ft * 20 ft = 12 ft * x

160 ft = 12 ft * x

Divide both sides of the equation by 12 ft:

160 ft / 12 ft = x

x ≈ 13.33 ft

So, the ratio between the sides of the smaller triangle and the larger triangle is approximately 13.33 ft : 20 ft.

Now, to find the perimeter of the smaller triangle, we add up the lengths of all its sides:

8 ft + 13.33 ft + 20 ft = 41.33 ft

Therefore, the perimeter of the smaller triangle is approximately 41.33 ft.

To find the perimeter of the smaller triangle, we need to determine its other two sides. Since the given triangles are similar, the ratios between their corresponding sides will be equal.

The ratio between the corresponding sides of the two triangles can be found by dividing the length of one side of the larger triangle by the length of the corresponding side of the smaller triangle. Let's denote the unknown sides of the smaller triangle as x and y:

ratio = (length of corresponding side in larger triangle) / (length of corresponding side in smaller triangle)

In this case, we can use the known side lengths of the larger triangle (12 ft, 14 ft, and 20 ft) and the corresponding known side length of the smaller triangle (8 ft) to find the ratio:

ratio = (12 ft) / (8 ft) = 1.5

Now, we can use this ratio to find the lengths of the remaining two sides of the smaller triangle:

x = 8 ft * 1.5 = 12 ft (Since 8 ft is the smallest side of the smaller triangle)
y = 20 ft * 1.5 = 30 ft

Thus, the lengths of the sides of the smaller triangle are 8 ft, 12 ft, and 30 ft.

Finally, we can find the perimeter of the smaller triangle by adding up the lengths of all three sides:

Perimeter = 8 ft + 12 ft + 30 ft = 50 ft

Therefore, the perimeter of the smaller triangle is 50 ft.

12 : 14 : 20

= 8 : x : y

x=8*14/12 = 28/3
y=20*8/12 = 40/3

Perimeter
= 8 + 28/3 + 40/3
= ?