Question

Which of the following statement is false? * 1 point The sum of the lengths of any two sides of a triangle is less than the third side. In a right-angled triangle, the square on the hypotenuse = sum of the squares on the legs. If the Pythagorean property holds, the triangle must be right-angled. The diagonal of a rectangle produce ‘by itself the same area as produced by its length and breadth

Answer 1

1) The sum of the lengths of any two sides of a triangle is less than the third side.

--> False

As we know in a triangle always the sum of the lenght so any two sides is greater than the third side.

2)  In a right-angled triangle, the square on the hypotenuse = sum of the squares on the legs.

--> True

In a right angled triangle the hypotenuse² = sum of ²s on the legs

3) If the Pythagorean property holds, the triangle must be right-angled.

--> True

4) The diagonal of a rectangle produce ‘by itself the same area as produced by its length and breadth

--> False