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Chapter 10: Q 4 (page 847)

Fill in the blanks:
Law of Cosines: In a triangle with side lengths $a, b, and c, where θ$ is the angle between the sides of length a and b, $a^{2} + b^{2} -______= c^{2}$

Short Answer

Expert verified

The required answer is: $2 a b \cos θ$

Step by step solution

Given information

A triangle with side lengths a, b, and c and $θ$ be the angle between the sides a and b.

Filling in the blanks:

As per the law of cosines:

$a^{2} + b^{2} - 2 a b \cos θ = c^{2}$

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Fill in the blanks:
Law of Cosines: In a triangle with side lengths $a, b, and c, where θ$ is the angle between the sides of length a and b, $a^{2} + b^{2} -______= c^{2}$

Short Answer

Step by step solution

Given information

Filling in the blanks:

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Fill in the blanks:Law of Cosines: In a triangle with side lengths a,b,andc,whereθ is the angle between the sides of length a and b,a2+b2-______=c2

Short Answer

Step by step solution

Given information

Filling in the blanks:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Discrete Mathematics

Geometry

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Fill in the blanks:
Law of Cosines: In a triangle with side lengths $a, b, and c, where θ$ is the angle between the sides of length a and b, $a^{2} + b^{2} -______= c^{2}$