The perimeters of two similar triangles are 30 cm and 20 cm respectively. If one side of the first triangle is 12 cm, determine the corresponding side of the second triangle.
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4
ratio of perimeters of two similar triangles=ratio of corresponding sides of two similar triangles
therefore,
30/20=12/?
30×12=20×?
260/20=?
13=?
therefore,
30/20=12/?
30×12=20×?
260/20=?
13=?
Answered by
7
Answer:
8 cm.
Step-by-step explanation:
When two triangles are similar, then the lengths of the sides and the values of the angles of one triangle are proportional to the corresponding sides and angles of the other triangle.
So, the ratio of the perimeter of one to other = the ratio of lengths of corresponding sides.
Hence, by the given condition the ratio of perimeters is 30:20 =3:2.
If 12 cm. is one side of the first triangle. and the corresponding side of the second triangle is x cm.
Then 12/x=3/2, ⇒x= 8 cm. (Answer)
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