Concept explainers
To find: Derive the states of Mollwiede’s formula for any triangle.
Answer to Problem 59AYU
The Mollweide’s formula is
Explanation of Solution
Given information:
The given triangle is ABC
Its sides and opposite angles are
Concept used:
Law of Sine:
If ABC is a triangle with sides
The relation of between the sides of triangle ABC is.
By using the law of Sine,
Multiplying with
To find the values of
From equation
The relation of between the sides of triangle ABC is.
Substitute the values of equation
Simplify by the sum to product formula,
Simplify by half angle formula,
To put the above values in equation
The sum of angle of the triangle
Substitute the values of
The angle of
Applied it
Hence, the derive states of the Mollweide’s formula is
Chapter 8 Solutions
Precalculus
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