Triangle ABC is congruent to triangle DEF. In triangle ABC, side AB measures 9, side BC measures 3x+1, and side CA measures 7. In triangle DEF, side DE measures 9, side EF measures 2x+2, and side FD measures 7. What equation would help you to solve for the side length of BC and EF? Explain your reasoning using complete sentences.

Question

dollbeautyx · Answer

@ganeshie8

dollbeautyx · Answer

@hartnn

anonymous · Answer

We can write:

3x + 1 = 2x + 2

And we solve for 'x'.

Subtract 1 to both sides:

3x = 2x + 1

Subtract 2x to both sides, what's 3x - 2x?

anonymous · Answer

@dollbeautyx Can you subtract that?

dollbeautyx · Answer

would it be 1x-x?

anonymous · Answer

Yes, it would be 'x'

So we get:

x = 1

So the length of the sides are 1.

dollbeautyx · Answer

Do you know the equation I would use?

anonymous · Answer

1 is your answer :P

anonymous · Answer

Sides BC and EF both measure 1.