English

In an isosceles ΔАBC, if AC = BC and AB^2 = 2AC^2 then C = ?

Advertisements
Advertisements

Question

In an isosceles ΔАBC, if AC = BC and AB2 = 2AC2 then C = ?

Options

  • 30°

  • 45°

  • 60°

  • 90°

MCQ
Advertisements

Solution

90°

Explanation:

AB2 = 2AC2

= AC2 + AC2

= BC2 + AC2    ...[∵ AC = BC]

∴ By converse of Pythagoras' theorem, we have ∠C = 90°.

shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Triangles - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 456]

APPEARS IN

R.S. Aggarwal Mathematics [English] Class 10
Chapter 7 Triangles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 49. | Page 456
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×