a parallelogram has side lenghts 20 cm and 25 cm. the diagonal opposite the obtuse angle measures 38 cm. what is the measure of
2 answers:
9514 1404 393
Answer:
114.8°
Step-by-step explanation:
The angles can be found using the Law of Cosines. It tells you ...
c² = a² +b² -2ab·cos(C)
Then angle C can be found to be ...
C = arccos((a² +b² -c²)/(2ab)) = arccos((20² +25² -38²)/(2·20·25))
C = arccos(-419/1000) ≈ 114.77°
The measure of the obtuse angle is about 114.8°.
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✿ Product of the Roots : αβ
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Given : The Roots of a Quadratic Equation are 6 and 3
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⇒ c = 18 × 4
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