Question

The parimeter of two similar triangles are 36cm and 24cm. If the shortest side of the second triangle is 5cm long. Find the length of the shortest side of the first triangle.​

Answer 1

7.5

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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