FirdausT359872 FirdausT359872
  • 03-11-2022
  • Mathematics
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Find AB. A =20B = 10C = 54 D = 12

Find AB A 20B 10C 54 D 12 class=

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SusyG245380 SusyG245380
  • 03-11-2022

Answer:

C. 54

Explanation:

The triangles ABD and ACD are congruent by SAS (Side - angle - side) becuase

AD is congruent to itself

∠ADB = ∠ADC

BD is congruent to CD

So, the length of AB is equal to the length of AC and we can write the following equation

AB = AC

4x + 6 = 5x - 6

Solving for x, we get:

4x + 6 + 6 = 5x - 6 + 6

4x + 12 = 5x

4x + 12 - 4x = 5x - 4x

12 = x

Then, the length of AB is

AB = 4x + 6

AB = 4(12) + 6

AB = 48 + 6

AB = 54

Therefore, the answer is

C. 54

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