Question 4:

ABC is an isosceles triangle right angled at C. prove that AB² = 2 AC².

Answer:

Given that ∆ABC is an isosceles triangle

∴ AC = CB

Applying Pythagoras theorem in ∆ABC (i.e., right-angled at point C), we obtain

AC² + CB² = AB²

⇒ AC² + AC² = AB²    (AC = CB)

⇒ 2AC² = AB²

Latest Govt Job & Exam Updates:

View Full List ...