Question

The perimeters of two similar triangles are 12 cm and 24 cm respectively.
If one side of first triangle is 3 cm, find the corresponding side of the
second triangle.​

Answer 1

The corresponding side of the  second triangle is "6 cm".

Step-by-step explanation:

Given,

$(Perimeter)_{1}$ = 12 cm, $(Perimeter)_{2}$ = 24 cm and

one side of first triangle = 3 cm

Find ,  side of second triangle = x = ?

∴ $\dfrac{12}{24}$ = $\dfrac{3}{x}$

⇒ $\dfrac{1}{2}$ = $\dfrac{3}{x}$

⇒ x = 2 × 3 = 6 cm

Hence, the corresponding side of the  second triangle is "6 cm"