Proof of the theorem: ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
prove that the length of the tangents drawn from an external point to a circle are equal, hence show that the centre lies on the bisector of the angle between the two tangents?
A man standing on the deck of a ship, which is 10m above the water level, observes the angle of elevation of the top of a hill as 60 degree and the angle of depression of the base of the hill as 30 degree. Find the distance of the hill fom the ship and the height of the hill.
If the roots of the equation
(a-b)x2+(b-c)x+(c-a)=0 are equal , prove that b+c=2a.
Prove that one of every three consecutive positive integers is divisible by 3.
Proof of the theorem: ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
prove that the length of the tangents drawn from an external point to a circle are equal, hence show that the centre lies on the bisector of the angle between the two tangents?
A man standing on the deck of a ship, which is 10m above the water level, observes the angle of elevation of the top of a hill as 60 degree and the angle of depression of the base of the hill as 30 degree. Find the distance of the hill fom the ship and the height of the hill.
If the roots of the equation
(a-b)x2+(b-c)x+(c-a)=0 are equal , prove that b+c=2a.
Prove that one of every three consecutive positive integers is divisible by 3.