Prove ∠BAC = 90° in Triangle ABC using Perpendiculars and Power of a Point

Math Problem Statement

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Geometry
Triangles
Perpendicular
Right Angles

AD^2 = BD × DC

Pythagoras' Theorem
Right Triangle Properties
Intersecting Secants Theorem (Power of a Point)

Grades 9-12

Prove that Angle BAC is 90 Degrees in Triangle ABC with Perpendicular AD

Proving Triangle ABC as a Right-Angled Triangle with AD Perpendicular to BC

Prove ∆ABC is a Right-Angled Triangle with AD ⊥ BC

Geometry Problem: Triangle ABC, Right Triangle at A, AD = AB

Geometry Problem: Finding Length DH in Equilateral Triangle ABC