Isosceles Triangle Proofs | Proving results using Pythagoras Theorem | Isosceles triangles
Isosceles Triangle Theorems : If two sides of a triangle are congruent, then the angles opposite those sides are congruent.(OR)In an isosceles triangle, the angles opposite to the equal sides are equal.
Converse of the Base Angles Theorem : The converse of the base angles theorem, states that if two angles of a triangle are congruent, then sides opposite those angles are congruent.
00:04 Q4. ABC is an isosceles triangle right angled at C. Prove that AB^2 = 2AC^2.
00:49 Pythagoras Theorem Application
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
01:57 Q5. ABC is an isosceles triangle with AC = BC. If AB^2 = 2 AC^2, prove that ABC is a right triangle.
03:14 Use Converse of Pythagoras Theorem
In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.
In this video, we learn how to apply Pythagoras Rule to solve Problems on right-triangles.Use parallel lines concept and triangle similarity theorems to prove problems on solving similar triangles.Many Word problems are solved using Pythagoras Theorem.
Reference book for the above video is
National Council of Educational Research and Training (NCERT) Book for class 10 Subject: Maths
This Video is also refers as CBSE class 10 mathts NCERT Solutions Chapter 6 Triangles.
Tagged under: ncert solutions,learncbse.,gyanpub,Isosceles Triangle,Isosceles Triangle Proofs,Proving results,Pythagoras Theorem,Theorems practice,WORKED EXAMPLES,Example Pythagoras Theorem,Algebra,orean Theorem Algebra -,word problems,-triangles,Similar Triangles,CBSE Maths Class 10
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