In the figure below, AL is perpendicular to `BC and CM` is perpendicular to AB. If `CL = AL = 2BL`, find `(MC)/(AM)`.

In the figure, AD is perpendicular to BC, prove that AB+AC gt 2AD .

In the figure, AD is perpendicular to BC, prove that AB+AC gt 2AD .

In the figure given below, ABC is a triangle with AB perpendicular to BC. Further BD is perpendicular to AC. If AD = 9 cm and DC = 4 cm, then what is the length of BD ?

In figure, ABCD is a parallelogram, AE perpendicular to DC and CF perpendicular to AD. If AB = 16cm, AE = 8cm and CF = 10cm, Find AD.

In the figure given below, O is the centre of the circle. AB and CD are two chords of the circle. OM is perpendicular to AB and ON is perpendicular to CD. AB = 24 cm, OM = 5 cm, ON = 12 cm. Find the : (i) radius of the circle (ii) length of chord CD

In a triangle ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB. Prove that : AD = CE.

In Figure -6 , in an equilateral triangle ABC, AD is perpendicular to BC , BE is perpendicular to AC and CF is perpendicular to AB . Prove that 4 (AD^2 +BE^2 +CF^2)=9AB^2

In Figure -6 , in an equilateral triangle ABC, AD is perpendicular to BC , BE is perpendicular to AC and CF is perpendicular to AB . Prove that 4 (AD^2 +BE^2 +CF^2)=9AB^2