Question

4.13. In the figure given below ZA = 90°, AD is
perpendicular to BC. Find x.​

Answer 1

Step-by-step explanation:

• by theorem of perpendicular drawn from right angle then both the triangles similar to each other
• so, AC/BC=DC/AC
• 12√3/6+x=x/12√3
• by solving we get quadratic equation
• ${x }^{2} + 6x - 432 = 0 \\ {x}^{2} + 24x - 18x - 432 = 0 \\ x(x + 24) - 18(x + 24) = 0 \\ (x + 24)(x - 18) = 0 \\ \\ x = 18 \: or \: x = - 24$
• length cannot be negative so answer is 18.