534,040 views
28 votes
28 votes
Find AB. A =20B = 10C = 54 D = 12

Find AB. A =20B = 10C = 54 D = 12-example-1
User Yohan Danvin
by
2.6k points

1 Answer

23 votes
23 votes

Answer:

C. 54

Step-by-step 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

User Nicordesigns
by
2.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.