Question

convers of phytha.ghorus theroem ​

Answer 1

Answer:

Hii mate here is your answer.

Step-by-step explanation:

If the square of length of the longest side of a triangle is equal to the sum of of the squares of the other two sides than the triangle is a right triangle.

mate mark me as the brainliest.

Answer 2

Answer:

here is your answer mate

Step-by-step explanation:

Converse of Pythagoras theorem

if the square of the length is the longest side a triangle is equal to the sum of the squares of other two sides then the triangle is a right triangle

that is in triangle ABC if c²= a²+b² the angle C is a right traingle, Traingle PQR Being the right angle

we can prove this contradiction

Let us assume that c² = a² + b² in Traingle ABC and the Traingle is

not right traingle

Now consider another triangle triangle PQR we construct so that PR = a , QR = b and angle is right angle

By Pythagoras theorem (PQ)² = a²+b² But we know that a² + b² = c² and c = AB

So (PQ)² : a²+b²: (AB)²

That is (PQ)² = (AB)²

since PQ and AB are length of sides we can take positive square root

PQ = AB

that is all the three sides of the triangle PQR are congruent to the three sides of triangle ABC so the two triangles are congruent by the Side × Side × Side congruence property

since triangle ABC is congruent to triangle PQR and PQR is right traingle , Traingle ABC must be Right Traingle There is a contradiction therefore our assumption must be wrong

Hope helpful for you