Question

The lengths of the sides of a triangle are 15 cm, 20 cm, 30 cm. What are the lengths of the sides of a similar triangle that has a perimeter of 26 cm ?

Answer 1

Answer:

6 cm,12 cm,8 cm

Step-by-step explanation:

add the perimeter of the first triangle to get 65

then divide 65 by 26 to get 2.5

then divide all the side lengths by 2.5

15/2.5=6

20/2.5=8

30/2.5=12

Answer 2

The lengths of the sides of a similar triangle that has a perimeter of 26 cm are 6 cm, 8 cm, and 12 cm and this can be determined by using the given data.

Given :

The lengths of the sides of a triangle are 15 cm, 20 cm, 30 cm.

The following steps can be used in order to determine the lengths of the sides of a similar triangle that has a perimeter of 26 cm:

Step 1 - The formula of the perimeter of the triangle is given below:

$\rm P = a + b + c$

where a, b, and c are the length of the sides of the triangle.

Step 2 - Now, determine the perimeter of the triangle whose sides are 15 cm, 20 cm, 30 cm.

P' = 15 + 20 + 30

P' = 65 cm

Step 3 - Now, divide both the perimeters of the triangles, that is:

$=\dfrac{65}{26}$

= 2.5

Step 4 - So, the side length of the sides of a similar triangle is given below:

$\rm \dfrac{15}{2.5} = 6\;cm$

$\rm \dfrac{20}{2.5}=8 \;cm$

$\rm \dfrac{30}{2.5}=12\;cm$

For more information, refer to the link given below:

https://brainly.com/question/6465134