Question

If segment BD is congruent to segment BC, BD=5x-26, BC=2x+1, and AC=43, find AB

Answer 1

To find AB, set up an equation using the given information and solve for x. Then, substitute the value of x back into either BD or BC to find its length. Finally, add BD and BC to find AB.

Step-by-step explanation:

To find AB, we need to set up an equation using the given information. We know that BD is congruent to BC, so we can set up the equation 5x-26 = 2x+1. Solving for x, we get x = 9.

Now, we can substitute this value of x back into either BD or BC to find its length. Let's use BD: BD = 5(9) - 26 = 19.

To find AB, we need to add BD and BC: AB = BD + BC = 19 + 10 = 29.