# A triangle has side 9cm 12cm 18cm the longest side of a similar triangle measure 12cm what are the length of other side

## To find the lengths of the other sides of the similar triangle, we need to determine the scale factor between the two triangles. The scale factor is the ratio between the corresponding sides of the two triangles.

Let's find the scale factor first.

The longest side of the original triangle is 18 cm, and the longest side of the similar triangle is 12 cm.

So, the scale factor is 12/18, which simplifies to 2/3.

Now, we can find the lengths of the other sides of the similar triangle.

Multiply the scale factor of 2/3 by the lengths of the corresponding sides of the original triangle.

Side 1:

Original triangle side 1: 9 cm

Similar triangle side 1: (2/3) * 9 cm = 6 cm

Side 2:

Original triangle side 2: 12 cm

Similar triangle side 2: (2/3) * 12 cm = 8 cm

Therefore, the lengths of the other sides of the similar triangle are:

Side 1: 6 cm

Side 2: 8 cm

## To find the lengths of the other sides of the similar triangle, we can use the concept of similarity. Two triangles are similar if their corresponding angles are equal, and the ratio of their corresponding sides is constant.

In the given triangle, the longest side measures 18cm. In the similar triangle, the longest side is given as 12cm.

To find the ratio between the corresponding sides of the two triangles, we divide the length of the longest side of the original triangle by the length of the longest side of the similar triangle:

Ratio = Length of longest side of original triangle / Length of longest side of similar triangle

= 18cm / 12cm

= 1.5

Now, to find the lengths of the other sides of the similar triangle, we multiply each side length of the original triangle by the ratio we calculated:

Length of side in similar triangle = Length of side in original triangle * Ratio

Let's calculate the lengths of the other sides of the similar triangle:

Length of side 1 in similar triangle = 9cm * Ratio

= 9cm * 1.5

= 13.5cm

Length of side 2 in similar triangle = 12cm * Ratio

= 12cm * 1.5

= 18cm

Therefore, the lengths of the other sides of the similar triangle are 13.5cm and 18cm.

## 9:12:18 ---> a:b:12

9:12:18

= 3:4:6

= 6:8:12

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