Properties of Triangles · Mathematics · NDA

$ABC$ is a triangle such that angle $C = 60^{\circ}$, then what is $\frac{\cos A + \cos B}{\cos \left(\frac{A - B}{2}\right)}$ equal to?

In a triangle $ABC$, $AB=16 \text{ cm}, BC=63 \text{ cm}$ and $AC=65 \text{ cm}$. What is the value of $\cos 2A+\cos 2B+\cos 2C$?

Consider the following statements:1. In a triangle $ABC$, if $\cot A \cdot \cot B \cdot \cot C>0$, then the triangle is an acute-angled triangle.2. In...

What is the value of a + b + √2 c equal to ?

What is the ratio of a2 ∶ b2 ∶ c2 ?...

What is the perimeter of the triangle ?

Consider the following statements : 1. ABC is right angled triangle 2. The angles of the triangle are in AP Which of the statements given above is/...

What is the nature of the triangle ? 

If c = 8, what is the area of the triangle ?

What is the value of n ? 

What is the length of the smallest side ?

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

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

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

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 $...