Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • ABC is a right angled triangle in which ∠ A = 90° and AB = AC. Find ∠ B and ∠ C.

7. ABC is a right angled triangle in which \small \angle A =90^{\circ} and \small AB=AC. Find \small \angle B and \small \angle C.

Answers (1)

best_answer

In the triangle ABC, sides AB and AC are equal. 

We know that angles opposite to equal sides are also equal.

Thus,            \angle B\ =\ \angle C

Also, the sum of the interior angles of a triangle is 180^{\circ}.

So, we have :

                                      \angle A\ +\ \angle B\ +\ \angle C\ =\ 180^{\circ}

or                                                   90^{\circ} +\ 2\angle B\ =\ 180^{\circ}

or                                                                    \angle B\ =\ 45^{\circ}

Hence                        \angle B\ =\ \angle C\ =\ 45^{\circ}

Posted by

Devendra Khairwa

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 10 board exams from February 15 to March 18; download date sheet 2025 PDF
anam-khan

CBSE Date Sheet 2025 Live: CBSE Class 10, 12 board exam timetable soon at cbse.gov.in; practical dates
anam-khan

CBSE Date Sheet 2025 Live: CBSE to announce Class 10, 12 board exam dates soon at cbse.gov.in; sample paper

Latest Question