In a right-angled triangle ABC,`/_ABC =90^(@), AB= 3cm, BC= 4cm` and the perpendicular BD on the side AC from the point B which meets the side AC at the point D. Determine the length of BD.

In a right angled triangle ABC, angleABC = 90^@ , AB = 3 cm, BC = 4 cm and the perpendicular BD on the side AC from the point B which meets the side AC at the point D. Determine the length of BD.

In a right-angled triangle ABC, angleB=90^(@), angleA=30^(@) and AC = 20 cm. Determine the lengths of two sides BC and AB.

In a right angled triangleABC, triangleABC = 90^@ , BN is perpendicular to Ac, AB = 6 cm, AC = 10 cm. Then AN : NC is___

In the triangle ABC,the perpendicular AD, from the point A on the side BC meets the side BC at the point D. If BD=8cm , DC =2 cm andAD = 4 cm, then find the measure of /_ BAC .

In the isosceles triangle ABC, AB=AC, if a circle is drawn with the side AB as diamter then the circle intersects the side BC at the point D. When BD=4 cm , find the the length of CD.

In an isosceles right-angled triangle ABC, /_B=90^(@) . The bisector of /_BAC intersects the side BC at the point D. Prove that CD^(2) =2BD^(2)

If in Delta ABC, b = 3 cm, c = 4 cm and the length of the perpendicular from A to the side BC is 2 cm, then how many such triangle are possible ?

(iii) In the right-angled triangle ABC, angle ABC=90^@ and AB=5 cm and BC=12 cm, then find its length of circum-radius.

In an isosceles triangle ABC, if AB = AC = 25 cm and BC = 14 cm, then the measure of altitude from A on BC is____

In the right-angled triangle ABC , /_B=90^(@) and the points D and E are on the sides AC and BC such that DE||AB . If AB=9cm , DE=3cm and AC=24cm , then find the value of AD .