Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively. Show that these altitudes are equal.

3.  ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig.). Show that these altitudes are equal.

                

Answers (1)

best_answer

Consider \Delta AEB   and  \Delta AFC,

(i)     \angle A    is common in both the triangles.

(ii)   \angle AEB\ =\ \angle AFC           (Right angles)

(iii)    AB\ =\ AC              (Given)

Thus by AAS congruence axiom, we can conclude that :

                                 \Delta AEB\ \cong \Delta AFC

Now, by c.p.c.t. we can say :     BE\ =\ CF

Hence these altitudes are equal.

Posted by

Sanket Gandhi

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