Given AB = 3 cm, AC = 5 cm,and ∠B = 30°, ΔABC cannot be uniquely constructed, with AC as base, why? *
Answers
Answer:
Cause angle B is not the included angle of sides AB and AC
Step-by-step explanation:
The information of two sides and an angle is given, which means we could potentially draw a triangle using SAS criterion. However, SAS criterion requires the measurement of the included angle between the two sides which has a common vertex. But from the information provided, ∠B is given and the sides are ᾹB and ᾹC which means that ∠B is not the included angle. Hence we cannot construct a unique triangle with AC as the base.
Answer:
We cannot construct a unique triangle with AC as the base.
Step-by-step explanation:
Given,
AB = 3 cm, AC = 5 cm, and ∠B = 30°
To find,
why ΔABC cannot be constructed with the base AC.
Calculation,
The vertex B can't be unambiguously located.
the data of two sides and an angle is given, which suggests we tend might doubtless draw a triangle using the SAS criterion. However, the SAS criterion needs the measure the enclosed angle between the 2 sides that features a common vertex. However, from the information provided, ∠B is given and the sides are AB and AC which means that ∠B is not the included angle. Hence, we cannot construct a unique triangle with AC as the base.
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