Find 3 ordered pairs which are Solutions to the equation 2x - 3y = 12
1 answer:
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Answer:
The length of the third side of given triangle lies between 6.5 and 19.9.
Step-by-step explanation:
The law of cosine is as follows
---------------1
⇒ a and b are the given sides of the triangle and c is the third side, and is the angle between a and b .
In equation 1 , the maximum and minimum values of are 1 and -1.
so the value of c lies in between
⇒ and
=
Given a=13.2 and b=6.7 so the the side lies in between |13.2-6.7| and |13.2+6.7|
so the third side lies between 6.5 and 19.9
Answer:
BC ≈ 14.7 m
Step-by-step explanation:
Using the Sine rule in Δ ABC
=
To find ∠ A subtract the 2 given angles from 180°
∠ A = 180° - (90 + 28)° = 180° - 118° = 62°
Then
=
( cross- multiply )
BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )
BC = ≈ 14.7 m ( to 3 significant figures )