JOIN NOW

Mathematics

In △ ABC, ∠C = 90° and AC = BC, then AB2 is equal to :

  1. AC2

  2. 2AC2

  3. BC2

  4. 2BC2 - AC2

Pythagoras Theorem

28 Likes

Answer

ABC is a right-angled triangle at C.

In △ ABC, ∠C = 90° and AC = BC, then AB2 is equal to : Pythagoras Theorem, Concise Mathematics Solutions ICSE Class 9.

By pythagoras theorem,

⇒ (Hypotenuse)2 = (Perpendicular)2 + (Base)2

⇒ AB2 = AC2 + BC2

⇒ AB2 = AC2 + AC2 (Since, AC = BC)

⇒ AB2 = 2AC2.

Hence, Option 2 is the correct option.

Answered By

16 Likes

Related Questions