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If bd=bc, bd=5x-26,bc = 2x+1 and ac =43 find ab

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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

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