The perimeter of two similar triangles are 24 cm and 18 cm. If one side of the first triangle is 9 cm then the corresponding side of the other triangle will be?
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The perimeter of two similar triangles are 30cm and 20cm respectively, if one side of first triangle is 12cm, determine the corresponding side of the triangle?
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Tarkeshwar Prasad, Teacher at Loreto Convent
Answered Mar 23, 2018 · Author has 101 answers and 38k answer views
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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2 ANSWERS

Tarkeshwar Prasad, Teacher at Loreto Convent
Answered Mar 23, 2018 · Author has 101 answers and 38k answer views
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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