Question

a, b आणि c या बाजू असलेल्या एका त्रिकोणात जर a² = b² + c² असेल तर a या बाजू समोरील कोन कोणता?​

Answer 1

Question :- if a² = b² + c² in a triangle with sides a, b and c, then what is the angle opposite to side a ?

Solution :-

we know that,

• The Converse of Pythagoras theorem statement says that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides of a triangle, then the triangle is known to be a right triangle.
• The side opposite to the right angle is the longest side of the triangle .

given that,

• a, b and c are sides of a ∆ .

and,

→ a² = b² + c²

→ (longest side)² = sum of square of other two sides of ∆

→ a² = b² + c².

therefore, we can conclude that, the given ∆ is a right angled ∆ with longest side as a .

hence,

→ Angle opposite to longest side of a right angled ∆ = 90° (Ans.)

Learn more :-

In ABC, AD is angle bisector,

angle BAC = 111 and AB+BD=AC find the value of angle ACB=?

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