Here,
Base = x
Height = x.
Area of right angled triangle = 49 sq. in
Area of a right angled triangle = ( 1/2 ) * Base * height
49 sq.in = ( 1/2 ) * x * x
49 * 2 sq. in = x^2
x =√ ( 49 sq. in * 2 )
x = 7 in.√2
x = 7( 1.41 ) in.
x = 9.87 in. ( 9.9 in. )
The required answer is option ( c ) 9.9 in.