What value of x will make the triangles similar by the sss similarity theorem?

1.5
20
30
67.5

The value of x will make the triangles similar by the SSS similarity theorem is 30

Third option 30

Solution:

The similarity theorem indicates that the sides of similar triangles must be proportional, then:

x/45=x/45=50/75

x/45=50/75

Solving for x: Multiplying both sides of the equation by 45:

45(x/45)=45(50/75)

x=(45)(50)/75

x=2,250/75

x=30

The answer is the option

Step-by-step explanation:

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

solve for x

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without