In triangles ABC , AD is perpendicular to BC and ` AD^(2) = BD xx DC ` . Prove that angle ` BAC = 90 ^(@) `

In triangle ABC, AD is perpendicular to side BC and AD^2 = BD xx DC . Show that angle BAC = 90^@ .

A triangle ABC is such that AD is perpendicular to BC and E is a point on DC. Also. Given that BD= 2 cm, DE = 4 cm, and EC = 8 cm. Find the ratio of the areas of Delta ABC , Delta ADE and Delta AEC.

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

In Triangle ABC, AD is perpendicular to BC, tan B "" = (3)/(4) tan C = "" ( 5)/(12) and BC = 56 cm . Calculate the lengths of AD.

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

In triangle ABC, AD is perpendicular to BC. sin B = 0.8, BD = 9 cm and tan C = 1. Find the length of AB, AD, AC and DC.

In triangle ABC, AB=AC and BD is perpendicular to AC. Prove that : BD^(2)-CD^(2)=2CDxxAD

In the figure AB = BC and AD is perpendicular to CD. Prove that : " "AC^(2)=2.BC.DC

In triangle ABC, D is a point in side BC such that 2BD=3DC . Prove that the area of triangle ABD = (3)/(5)xx "Area of" DeltaABC

In Delta ABC, AB = AC and D is a point an side AC such that AD = BD = BC . Show that : angle ADB = 108 ^(@)