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?
Share
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?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
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