1)

The sides of a right angles triangle are in arithmetic progression. If the triangle has area 24, then whats is the length of its smallest side?


A) 8

B) 9

C) 4

D) 6

Answer:

Option D

Explanation:

Let the sides are a-d, a and a+d

     Then, a(a-d)=48

and a2-2ad+d2+a2=a2+2ad+d2

$\Rightarrow$  a2 =4ad

$\Rightarrow$   a=4d

 Thus, a=8,d=2

  Hence a - d=6