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Trigonometric Functions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsTrigonometric Functions2 Marks
MCQ
If the sides of a triangle are $3,5,7$, then
  • A
    All its angles are acute
  • ✓
    One angle is obtuse
  • C
    Triangle is right angled
  • D
    None of these
✓

Answer

Correct option: B.
One angle is obtuse
(B) $\cos C =\frac{3^2+5^2-7^2}{2 \times 3 \times 5}$
$\begin{array}{l}\Rightarrow \cos C =-\frac{1}{2} \\ \Rightarrow C =120^{\circ}\end{array}$
$\therefore \quad$ option (B) is the correct answer.

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