Question

converse of pythagoras therom

Answer 1

the converse of the pythagoras theorem is below....

The converse of the Pythagorean Theorem is: 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, then the triangle is a right triangle.

Thank you....

Answer 2

Answer:

it states that the sum of the squares of the sides is equal to the square of third side then angle opposite to third side is 90

Step-by-step explanation:

let us draw a triangle ABC then drop a perpendicular BD upon AC and given that AB^2+BC^2=AC^2

then BD^2+AD^2=AB^2 AND SIMILIARLY FOR BC . ADD THE EQUATIONS GET AD^2+2BD^2+CD^2 . AC=AD+DC THEN AC^2=AD^2+DC^2+2AD.DC EQUATING THEM BD^2+AD.DC SO, BD/CD=AD/BD AND ANGLE ADB = ANGLE CDB =90 THEREFORE THE TWO TRIANGLES ARE SIMILIAR AND BY LIITLE CALCULATION OF ANGLES OF SIMILIAR TRIANGLES TO BE EQUAL WE GET B=90