Question

2. The perimeters of two similar triangles are 30cm and 20cm respectively. If one
side of the first triangle is 12cm determine the corresponding side of the second
triangle​

Answer 1

Answer:

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We know, a/d = b/e = c/f = (a+b+c) / (d+e+f)

Therefore, for two similar triangles, if a, b & c are sides of the first triangle and d, e & f are corresponding sides of the second triangle then ratio of corresponding sides of the two similar triangles is equal to ratio of their perimeter.

Now, one side of the first triangle =12cm

Let the corresponding side of the second triangle =x

Also, perimeter of the first triangle =30cm

& perimeter of the second triangle =20cm

Therefore, 12/x =30/20

=> x = (12*20) / 30 =8cm

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