25. Construct a triangle ABC, with m_A = 70°, m_B = 50° and
AC = 3cm. (3 marks)
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3
Answer:
What is the construction that in a triangle ABC m of B=60 degrees, AC=6.5cm, and AX=5?
In ∆ABC, AB=c=3 AC=b=4 & <BAC=60° BC=a=?
Therefore,by applying cosine rule we get
(BC)^2=(AC)^2+(AB)^2–2×(AB)×(AC)×cos(BAC)
a^2=b^2+c^2–2×b×c×cos(60°)
a^2=(3)^2+(4)^2–2×3×4×0.5
a^2=9+16-12
a^2=13
a=√13
Hence length of side BC is √13
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5
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