Mathematics, 22.06.2019 13:20 anaisabelx7654

Can the triangles be proven similar using the sss or sas similarities theorems?

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Answer from: karlyisaunicorn

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.

Answer from: khloenm309

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 from: Quest

So don't take my word i'm not exactly a mathematical person but i would assume a. because while selling the soap every month you increase in sells so you would by 11 percent. the you would get the factor 0.89 which if i had to guess would be the monthly profit over 11 probably wrong tho

Answer from: Quest

fabric (square meters) cloaks

7 21

4/3 4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is square meter. now we will multiply by 4 to find fabric needed for 4 cloaks.

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