Answer:
Step-by-step explanation:1. know that BD is equal to BC. Using this information, we can set up an equation:
BD = BC
5x - 26 = 2x + 1
2. Now uh can solve this equation to find the value of x:
5x - 2x = 1 + 26
3x = 27
x = 9
3. With the value of x, you can find the values of BD and BC:
BD = 5x - 26
= 5(9) - 26
= 45 - 26
= 19
BC = 2x + 1
= 2(9) + 1
= 18 + 1
= 19
4. Now you can find the value of AB. To do this, uh need to use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter of the triangle:
AB + BD + DA = perimeter
AB + BC + AC = perimeter
AB + 19 + 43 = perimeter
5. Since uhh know that the perimeter is equal to the sum of the lengths of the sides, uhh can set up an equation and solve for AB:
AB + 19 + 43 = AB + 62
AB = AB + 62 - 19 - 43
AB = AB + 0
AB = 0