In the given figure `angle ABC = angle BAC` , D and E are pointts on BC and AC respectively such that DB = AE . If AD and BE intersect at O then prove that OA = OB

In ABC,D and E are points on sides AB and AC respectively such that AD xx EC=AE xx DB. Prove that DEBC .

In the given figure, angle BAC=90^(@) and AD bot BC .then,

In a triangle ABC, D and E are points on AB, AC respectively such that DE is parallel to BC. Suppose BE, CD intersect at O. If the areas of the triangles ADE and ODE are 3 and 1 respectively, find the area of the triangle ABC, with justification

If DE||BC in triangleABC where D and E are points on AB and AC respectively. If (AD)/(DB) = 8/15 and EC = 3.5 cm , find AE.

In triangle ABC , D and E are the points on AB and AC respectively such that AD x AC = AB x AE. If angle ADE = angle ACB + 30^@ and angle ABC = 78^@ , then angle A =? त्रिभुज ABC में, D और E क्रमशः भुजा AB और AC पर स्थित ऐसे बिंदु हैं कि AD x AC = AB x AE है | यदि angle ADE = angle ACB + 30^@ है तथा angle ABC = 78^@ है, तो कोण A का मान क्या होगा ?

In the given figure, triangles ABC and DCB are right angled at A and D respectively and AC = DB. Prove that /_\ ABC = /_\ DCB .

In triangle ABC E and D are points on sides AB and AC,respectively, such that angle ABC= angle ADE , if AE = 6cm, AD = 4 cm and EB = 4 cm, then the length of DC is: triangle ABC में, E और D क्रमशः AB और AC पर एक बिंदु हैं, जैसे कि angle ABC= angle ADE ,यदि AE = 6cm, AD = 4 cm और EB = 4 cm है, तो DC की लंबाई है:

In /_ABC,D and E are points an the sides AB and AC repectivaly such that DEllBC. If (AD)/(DB)=(3)/(4) and AC=15cm. Find AE.

In the given figure, AC=AE, AB=AD and angleBAD=angleEAC . Prove that BC=DE .

In the figure , AC =12 cm , angle ABC =90 ^@ , angle BAC=30^@ , then find AB and BC.