What is the length of the side BC of triangle ABC?

3 m

2 m

4 m

8 m

Question

What is the length of the side BC of triangle ABC?

 3 m

 2 m

 4 m

 8 m

anonymous · Answer

attachment

anonymous · Answer

I really need help

anonymous · Answer

anyone can explain how to do this?

mathstudent55 · Answer

Using the congruent angles and sides, what can you conclude about the two triangles?

anonymous · Answer

I think you have to subtract 4x-5 from x+1?

mathstudent55 · Answer

How about answering my question?

anonymous · Answer

ok how I do that?

anonymous · Answer

I add it and got 8

mathstudent55 · Answer

You have two triangles. You are given two angles and the side of one triangle are congruent to two angles and the side of the other triangle.
You can conclude that the triangles are congruent.

mathstudent55 · Answer

Since the triangles are congruent, CB = FE
x + 1 = 4x - 5
Now subtract 4x from both sides.
Subtract 1 from both sides.

mathstudent55 · Answer

x + 1 =   4x - 5
-4x -1    -4x - 1
---------------
-3x      =         -6
Divide both sides by -3:
x = 2

anonymous · Answer

Thanks I got that I just didnt went to look stupid lol

mathstudent55 · Answer

Now that you have x = 2, and BC = x + 1, substitue x with 1 to find the length of BC.
BC = x + 1 = 2 + 1 = 3
Answer: BC = 3 m