Question

Can the triangles be proven similar using the SSS or SAS similarities theorems?

Answer 1

Answer:

Both!

Step-by-step explanation:

By both!

You have all 3 corresponding sides are proportional so you have SSS.  That is

24/8=15/5=18/6

You also have SAS because 15/5=18/6 and you have the angle between the sides that I'm referring to in that proportion.

Answer 2

Answer: SSS similarity theorem,

Step-by-step explanation:

From the given picture, the ratio of the corresponding sides will be :-

$\dfrac{KM}{EG}=\dfrac{8}{24}=\dfrac{1}{3}$

$\dfrac{KL}{EF}=\dfrac{6}{18}=\dfrac{1}{3}$

$\dfrac{ML}{GF}=\dfrac{5}{15}=\dfrac{1}{3}$

We can be see that the sides of both triangles is proportional .

i.e. $\dfrac{KM}{EG}=\dfrac{KL}{EF}=\dfrac{ML}{GF}=\dfrac{1}{3}$

So by SSS similarity theorem, we have

ΔKLM ≈ ΔEFG

• SSS similarity theorem says that if the lengths of the corresponding sides of two triangles are proportional then the triangles are similar.

• SAS similarity theorem says that if two sides in a triangle are proportional to corresponding two sides in other triangle with the corresponding included angle in both are congruent then the two triangles are similar.