Mathematics: If the perimeter of triangle ABC is 27.6cm, what is the perimeter, in centimeters of triangle BCD. AB = 9.6cm BC = 6 cm

If the perimeter of triangle ABC is 27.6cm, what

irene003

18.01.2022

17.25 cm

Step-by-step explanation:

We are given that

Perimeter of triangle ABC=27.6 cm

AB=9.6 cm

BC=6 cm

Triangle ABC is similar to triangle BCD

We have to find the perimeter of triangle BCD.

Triangle ABC is similar to triangle BCD

Let perimeter of triangle BCD=x

When two triangles are similar then

$\frac{Perimeter\;of\;triangle}{Perimeter\;of\;another\;triangle}=\frac{Side\;of\;triangle}{side\;of\;another\;triangle}$

Using the formula

$\frac{perimeter\;of\;triangle\;ABC}{perimeter\;of\;triangle BCD}=\frac{AB}{BC}$

Substitute the values

$\frac{27.6}{x}=\frac{9.6}{6}$

$x=\frac{27.6\times 6}{9.6}=17.25 cm$

Hence, the perimeter of triangle BCD=17.25 cm

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