The areas of two similar triangles are 18 cm2 and 8 cm2. one of the sides of the first triangle is 4.5 cm. what is the length of the corresponding side of the other triangle?

The corresponding side is 3 cm

Step-by-step explanation:

When we have area, it is the related to the scale factor by the scale factor squared

Area large/ area of small = 18/8 = 9/4

Take the square root

sqrt(9/4)  = 3/2

The scale factor is 3/2    large to small

The large side is 4.5 cm

large         3            4.5 cm

  =   =  

small           2           x cm

Using cross products

3x = 2(4.5)

3x =9

Divide each side by 3

3x/3 = 9/3

x =3

isi

step-by-step explanation:

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