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AD = 4 cm, DC = 6 cm, angle BDA= 52°, angle DBC = 71°

and angle BDC = 34°

What is the length of AB to the nearest mm?

a) 5 cm
b) 6 cm
c) 7 cm
d) 8 cm

User Adversus
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1 Answer

6 votes

Final answer:

To find the length of AB, we can use the Law of Sines and the given angles. Applying the Law of Sines, we find that AB is equal to 6 cm to the nearest mm.

Step-by-step explanation:

To find the length of AB, we can use the Law of Sines. First, let's find angle ABD using the angle BDA and angle BDC. angle ABD = 180° - angle BDA - angle BDC = 180° - 52° - 34° = 94°. Now, we can apply the Law of Sines: AB/sin(94°) = AD/sin(angle ADB). Plugging in the values, we get AB/sin(94°) = 4/sin(71°). Cross-multiplying, we find AB = (4*sin(94°))/sin(71°) = 6 cm to the nearest mm. Therefore, the correct answer is option b) 6 cm.

User Clay Wardell
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