PROPERTIES OF TRIANGLES, INTERMEDIATE MATHEMATICS FIRST YEAR PROBLEMS WITH SOLUTIONS ( class 11 maths)

Intermediate mathematics first year 1A Properties of Triangles solutions for some problems.

The solutions are very easy to understand.

You should study the textbook lesson Propreties of Triangles very well.

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SOLUTIONS OF PROPERTIES OF TRIANGLES, JUNIOR INTER TRIGONOMETRY

Properties of Triangles solutions, Intermediate ( class 11 maths)

Short answer questions

Problem

In ∆ABC show that a = b cos C + c cos B

Problem

In ∆ ABC, if a = 3, b = 4 and sin A = 3/4, find the angle B.

Problem

If a = 6, b = 5, c = 9, then find the angle A 

Problem

In a ∆ ABC, if (a + b + c) (b + c – a) = 3 bc, find A.

Problem

If a = 4, b = 5, c = 7, find cos B/2.

Problem

In ∆ ABC, if cos A = b cos B, prove that the triangle either isosceles or right angled.

Problem

If a = 26 cm, b = 30 cm and cos C = 63/65 then find ‘c’.

Problem

Prove that (b + c) cos A + (c + a) cos B + (a + b) cos C = a + b + c.

Problem

Prove that (b – a cos C) sin A = a cos A sin C 

Problem 21

Problem

If a : b : c = 7 : 8 : 9, find cos A : cos B : cos C.

Problem

In ∆ABC, show that r = 4R sin A/2 sin B/2 sin C/2, where ‘r’ is the circle radius.

Problem

The perimeter of ∆ABC is 12 cm its radius is 1 cm. Then find the area of the triangle.

PROPERTIES OF TRIANGLES, INTERMEDIATE MATHEMATICS FIRST YEAR PROBLEMS WITH SOLUTIONS

Long answer questions

Note : Observe the solutions of properties of triangles and try them in your own methods.

Some more solutions

Problem

If tan A/2 = 5/6 and tan C/2 = 2/5, determine the relation between a. b, c.

You can see the solutions for junior inter maths 1A

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2. Functions

3. Matrices

4. Addition of vectors

5. Product of vectors

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7. Trigonometric ratios upto transformations 2

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