Question

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

Answer 1

Answer: 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

Answer 2

Answer:

The answer is the option

$x=30$

Step-by-step explanation:

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{x}{45}=\frac{50}{75}$

solve for x

$x=45*50/75$

$x=30$