Question

ABC is a right-angled triangle, where, the

angle A is a right-angle. D is a point on BC

such that, DA=DC. The line through D

parallel to AB intersects AC at E. If AB=6,

what is the length of DE?​

Answer 1

Answer:

I will make it easy on myself. < we are talking about an isosceles right triangle>

Line AD divides the right triangle into two isosceles triangles CD = DB = DA = 3 and divides angle A into two 45 degree angles.

( ∠DAC ) = 45 ∘

tan(45) = x/3

x = 3

DE = 3 units

Hope it helps you