Corresponding sides of two similar triangles are in the ratioi of 2:3. If the perimeter of small triangle is 48cm, then the perimeter of large triangle is:
Answers
Given data : Corresponding sides of two similar triangles are in the ratioi of 2 : 3. The perimeter of small triangle is 48 cm.
To find : The perimeter of large triangle ?
Solution : When two triangle are similar, the
ratio of their perimeters is equal to
the ratio of their corresponding
side lengths.
Let, permiter of larger triangle be x
Now, we use property of area of two similar triangle.
⟹ Ratio of permiter of two similar triangle =
Ratio of their corresponding sides
⟹ perimeter of small triangle/perimeter of large triangle = 2/3
⟹ 48/x = 2/3
⟹ x = 48 * 3/2
⟹ x = 24 * 3
⟹ x = 72 cm
Answer : Perimeter of larger triangle is 72 cm.
{verification :
⟹ perimeter of small triangle/perimeter of large triangle = 2/3
⟹ 48/72 = 2/3
⟹ 2/3 = 2/3
Hence it verified. }
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