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