English

In an Isosceles Triangle Abc If Ac = Bc and Ab2 = 2ac2, Then ∠C = (A) 30° (B) 45° (C) 90° (D) 60° - Mathematics

Advertisements
Advertisements

Question

In an isosceles triangle ABC if AC = BC and AB2 = 2AC2, then ∠C =

Options

  • 30°

  •  45°

  • 90°

  • 60°

MCQ

Solution

Given: In Isosceles ΔABC, AC = BC and AB2 = 2AC2.

To find: Measure of angle C

In Isosceles ΔABC

AC = BC

\[\angle B = \angle A\](Equal sides have equal angles opposite to them)
`AB^2=2AC^2`
`AB^2=AC^2+AC^2`
`AB^2=AC^2+BC^2(AC=BC)`
`⇒ Δ ABC `is right angle triangle , with `∠ C= 90^o`

Hence the correct answer is `c`.

shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Triangles - Exercise 7.10 [Page 136]

APPEARS IN

RD Sharma Mathematics [English] Class 10
Chapter 7 Triangles
Exercise 7.10 | Q 51 | Page 136

Video TutorialsVIEW ALL [1]

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×