Question

What is the scale factor? it has to be a fraction and whats the length size of m?

Answer 1

x =11

Explanation:

Scale factor : A scale factor is a number which multiplies of some quantity.

Given that
`\triangle RST`≅
`\triangle MNO`

SSS rule : If three sides of a triangle are congruent to the sides of another triangle. Then two triangle are congruent .

Since
`\triangle RST` and
`\triangle MNO` congruent.

Then,

`(RS)/(MN) =(ST)/(NO) =(RT)/(MO)`

Taking first two ratio

`(RS)/(MN) =(ST)/(NO)`

⇔
`(3)/(6) =(5.5)/(x)` [ RS = 3 , ST= 5.5, MN= 6 and NO=x]

⇔3x =6×5.5

⇔
`x =(5.5 * 6)/(3)`

⇔x =11