In Triangle ABC, Angle A is 90° and Angle B is 60°. BC =

Answer with explanation:

ABC is a line segment.

→∠A B D + ∠ C B D=180°→[By Linear pair Axiom]

→∠A B D+90°=180°

→∠A B D=90°

In ΔA B D and Δ C B D

AB=BC →[Given]

∠A B D = ∠ C B D→[Each being 90°]

BD is common.

→ΔA B D ~ Δ C B D→→[SAS]

AD=DC→→[C P CT]

BC=AB→[Given]

Segment AD must be congruent to DC.

Segment BC must be congruent to AB.