The vertices of a rectangle PQRS are joined from an interior point 'O'. Prove that the sum of the area of two opposite triangles so formed is equal to the sum of the areas of remaining two triangles

A point O inside a rectangle A B C D is joined to the vertices. Prove that the sum of the areas of a pair of opposite triangles so formed is equal to the sum of the areas of other pair of triangles.

A point O inside a rectangle A B C D is joined to the vertices. Prove that the sum of the areas of a pair of opposite triangles so formed is equal to the sum of the other pair of triangles. Given: A rectangle A B C D\ a n d\ O is a point inside it. O A ,\ O B ,\ O C\ a n d\ O D have been joined. To Prove: a r\ (A O D)+\ a r\ ( B O C)=\ a r\ ( A O B)+\ a r( C O D)

A point O inside a rectangle A B C D is joined to the vertices. Prove that the sum of the areas of a pair of opposite triangles so formed is equal to the sum of the other pair of triangles. Given: A rectangle A B C D\ a n d\ O is a point inside it. O A ,\ O B ,\ O C\ a n d\ O D have been joined. To Prove: a r\ (A O D)+\ a r\ ( B O C)=\ a r\ ( A O B)+\ a r( C O D)

A point O inside a rectangle A B C D is joined to the vertices. Prove that the sum of the areas of a pair of opposite triangles so formed is equal to the sum of the other pair of triangles. GIVEN : A rectangle A B C D and O is a point inside it. O A ,O B ,O C and O D have been joined.. TO PROVE : a r(A O D)+a r( B O C)=a r( A O B)+a r( C O D) CONSTRUCTION : Draw E O F A B and L O M A Ddot

Prove that if the areas of two similar triangles are equal, then they are congruent

Prove that if the area of two similar triangles are equal, then they are congruent.

Prove that if the areas of two similar triangles are equal, then they are congruent

Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.

Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.