A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. what is the side of the largest possible square that can be drawn?  Choose the correct choice from the following options:
A) 4.8 cm  B) 4.4 cm  C) 4.9 cm  D) 5.0 cm  E) 6.0 cm
Explanation :   Area of triangle is 1/2 * 12 * 8= 
<gadget id="calculator">1/2 * 12 * 8</gadget>
<output>48</output>
48   Side of square= x   The entire triangle split into two right angled triangle and one square with dimensions as follows   i) square with side x   ii) Right angled triangle with perpendicular sides x and 12-x   iii) Right angled triangle with perpendicular sides 8-x and x   Sum of area of all three = 48   =&gt; x2 + 1/2*x*(12-x) + 1/2*x*(8-x) = 48   =&gt; x = 4.8 cm   Hence (A) is the correct answer.   4.8 cmnswer : 4.8 cm
<result>A</result>
A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. what is the side of the largest possible square that can be drawn?