Since c²= a²+ b² is Pythagora's theorem the given statement is true.
The given statement is the law of cosines reduces to the Pythagorean theorem when the triangle is right.
What is the Pythagorean theorem?
Pythagora's theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
We know that the Law of cosine is c²= a²+ b²− 2ab cosθ
So in the case of the right triangle, the angle is 90°.
Putting 90° into the formula, we get c²= a²+ b²− 2ab cos90°
As we know that cos90°= 0
c²= a²+ b²−2ab (0)
c²= a²+ b²−0
c²= a²+ b² is Pythagora's theorem.
Hence, the given statement is true.
To learn more about Pythagora's theorem visit:
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