What is Pythagoras Theorem?
Give an example.
Answers
Given the Pythagorean Theorem, a2 + b2 = c2, then: For an acute triangle, c2< a2 + b2, where c is the side opposite the acute angle. For a right triangle, c2= a2 + b2, where c is the side of the 90-degree angle. For an obtuse triangle, c2> a2 + b2, where c is the side opposite the obtuse angle.
Step-by-step explanation:
Pythagoras 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“.
Pythagoras Theorem Formula
Consider the triangle given above:
Where “a” is the perpendicular,
“b” is the base,
“c” is the hypotenuse.
According to the definition, the Pythagoras Theorem formula is given as:
Hypotenuse² = Perpendicular² + Base²
c² = a² + b²
for eg - 3,4,5 are Pythagoras triplets
5² = 3² + 4²
25 = 9 + 16
25 = 25