Question

the perimeter of two similar triangles are 36 cm and 24 cm the shortest side of the second triangle is 5 cm long find the length of the shortest side of the first triangle​

Answer 1

Answer:

7.5cm

Step-by-step explanation:

36cm/24cm=side/5cm

(36*5)/24=7.5cm

Answer 2

Given : perimeter of two similar triangles are 36cm and 24cm.

shortest side of the second triangle is 5cm long

To Find :  length of the shortest side of the first triangle.​

Solution:

in similar triangles

Ratio of corresponding sides  = ratio of perimeter of triangle

=> (shortest side of 1st triangle)/ shortest side of 2nd triangle = perimeter of 1st Triangle / perimeter of 2nd triangle

=>  (shortest side of 1st triangle)/ 5  = 36/24

=> (shortest side of 1st triangle)/ 5  =3/2

=> shortest side of 1st triangle   = 5 x 3/2

=> shortest side of 1st triangle   = 15 /2

=> shortest side of 1st triangle   = 7.5  

length of the shortest side of the first triangle.​ = 7.5 cm

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