Question

Assuming that the triangles below are similar? How do I find the scale factor and the length of the missing sides?

Scale Factor: __
a= _
b=_

Answer 1

`(a)=9,(b)=9`

Explanation:

`color(blue)"In similar triangles"`

`• " the ratios of corresponding sides are equal"`

`"in "(a)" the corresponding sides are 5 and 15"`

`rArr"scale factor (k) "=15/5=3larrcolor(red)"an enlargement"`

`"the triangle on the right is an "color(blue)"enlargement"`
`"of the triangle on the left"`

`rArra=3xx3=9`

`"in (b)"`

`k=12/20=3/5larrcolor(red)"a reduction"`

`"the triangle on the right is a "color(blue)"reduction "`
`"of the triangle on the left"`

`rArrb=15xx3/5=9`