Question

Areaof a right triangle is 24 cm squares and the square sum of perpendiculars sides is 196 .Taking the perpendicular side as x metre and y metres A.what the number is x+y

Answer 1

Answer:

$x + y = 14 \sqrt{2}$

Step-by-step explanation:

$\frac{1}{2} \times xy = 24 \\ \\ xy = 48 \\ \\ {x}^{2} + {y}^{2} = 196 \\ \\ \\ \\ {(x + y)}^{2} - 2xy = 196 \\ \\ {(x + y)}^{2} - 2 \times 48 = 196 \\ {(x + y)}^{2} = 196 + 196 \\ {(x + y)}^{2} = 392 \\ x + y = 14 \sqrt{2}$