Question

ABC is the triangle in which AB=AC,D is any point on AB . Through D,a line parallel to AC intersects BC at E. if DB=1.5cm then find the length of DE
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Answer 1

Step-by-step explanation:

In ∆ABC , AB=AC

angle B = angle C (angles opposite to

equal sides are equal)

DE is parallel to AC, so

angle E =angle C (corresponding angles)

If angle E = angle C ,

angle E = angle B

If angle E = angle B,

DB = DE (sides opposite to equal

angles are equal)

DB = 1.5 cm,

DE = 1.5 cm