Question

If in a square ABCD ,AB =(2x+3)cm and BC =(3x-5) cm ,find BD. [HINT: BD SQUARE =AB SQUARE+AD SQUARE by pythagoras theorem, AD=BC].​

Answer 1

BD²=AB²+BC² (as BD=AC)

BD²=(2x+3)²+(3x-5)²

BD²=4x²+12x+9+9x²-30x+25

BD²=13x²-18x+34