Question

What is scale factor of the two triangles ?

Answer 1

Answer:

GKN is 3/4 of AHL

Step-by-step explanation:

Compare the similar sides. 3:4. 6:8. 15:20. All of them are equivalent to 3/4

Answer 2

Answer:

A. 3/4

Step-by-step explanation:

We have to find which sides correspond to which other ones'.

The sides in order of increasing in triangle 1: NK, GK, GN

The sides in order of increasing in triangle 2: AH, HL, AL

AH~NK  4 ~ 3

HL~GK   8 ~ 6

AL~GN   15 ~ 20

When we put them into a fraction and simplify that should be our answer.

$\frac{3}{4}$  =  $\frac{6}{8}$ = $\frac{15}{20}$

The simplest fraction is 3/4 so that is our answer.

If you want to make ΔAHL = ΔNKG you have to multiply each of the sides by 3/4. But if you want to make ΔNKG = ΔAHL multiply each side of ΔNKG by 4/3.