Question

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

Answer 1

x =11

Step-by-step 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,

$\frac{RS}{MN} =\frac{ST}{NO} =\frac{RT}{MO}$

Taking first two ratio

$\frac{RS}{MN} =\frac{ST}{NO}$

⇔$\frac{3}{6} =\frac{5.5}{x}$     [ RS = 3 , ST= 5.5, MN= 6 and NO=x]

⇔3x =6×5.5

⇔$x =\frac{5.5 \times 6}{3}$

⇔x =11