NDA Mathematics 4 September 2022 | Properties of Triangles Question 12 | Mathematics

ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B.

What is $\frac{\text{AB}}{\sin \text{C}}$ equal to ?

17 m

$\frac{50}{3}$ m

$\frac{40}{3}$ m

16 m

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B.

What is cos A + cos B + cos C equal to ?

$\frac{41}{25}$

$\frac{37}{25}$

$\frac{33}{25}$

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

In a triangle ABC, a = 4, b = 3, c = 2. What is cos 3C equal to ?

$\frac{7}{128}$

$\frac{11}{128}$

$\frac{7}{64}$

$\frac{11}{64}$

NDA Mathematics 10 April 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let a, b, c be the lengths of sides BC, CA, AB respectively of a triangle ABC. If p is the perimeter and q is the area of the triangle, then what is $p(p-2a) \tan \left(\frac{A}{2}\right)$ equal to ?

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