Question

the perimeter of two similar triangles are 12 centimetre and 24 cm respectively if one side of first traingle is 3cm,find the corresponding side of the second triangle​

Answer 1

Step-by-step explanation:

Ratio of perimeters = 1:2

Therefore the corresponding side of the larger triangle = 3 * 2 cm = 6 cm

Answer 2

Perimeter of two triangles are 12 cm and 24 cm.

And one the side of first triangle is 3 cm.

We have to find the corresponding side of the second triangle.

Let the -

• corresponding side of second triangle be x.

$\sf{According \:to\:question}$

Let the ratio of two triangles be "a" and "b" and their corresponding side be "c" and "d".

So,

=> $\dfrac{a}{b}\:=\:\dfrac{c}{d}$

And we have given that ..

a = 12 cm, b = 24 cm, c = 3 cm and d = x cm

Substitute these values above

=> $\dfrac{12}{24}\:=\:\dfrac{3}{x}$

=> $\dfrac{1}{2}\:=\:\dfrac{3}{x}$

Cross multiply them

=> $x\:=\:2(3)$

=> $x\:=\:6$

•°• Corresponding side of the second triangle is 6 cm.