Some interesting Questions

Question 1

Through a point on the hypotenuse of a right triangle, lines are drawn parallel to the legs of the triangle so that the triangle is divided into a square and two smaller right triangles.

The area of one of the two small right triangles is 'm' times the area of square.The ratio of the area of the other small right triangle to the area of square is

(a) 1/4m

(b) 1/2m+1

(c) m

(d) 1/8m^2 (8 m square)

Question 2

The diagnols of a rhombus are 12 and 24. The radius of a circle inscribed in the rhombus is

(a) 12/root 5

(b) 6/root 5

(c) 6 root 5

(d) not possible