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

1.5
20
30
67.5

Question

contestada

Respuesta :

Professor1994 Professor1994 · Answer 1 · 2018-11-11T06:35:11+01:00

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 Link

raphealnwobi raphealnwobi · Answer 2 · 2022-02-07T13:46:30+01:00

The value of x as shown in the two similar triangles is 30.

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are proportional to each other.

From the diagram, since the two triangles are similar to each other, hence, we get the equation:

x/45 = 50/75

x = 30

The value of x as shown in the two similar triangles is 30.

Find out more on Similar figures at:https://brainly.com/question/14285697