Home
Class 9
MATHS
ABC is an isosceles triangle in which a...

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal.

Text Solution

Verified by Experts

`(##IX_07_E02_03_s01##)`
Given
`AB=AC`,
`BE` and `CF` are altitudes
...
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NCERT ENGLISH|Exercise EXERCISE 7.5|4 Videos
  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise Exercise 13.9|3 Videos

Similar Questions

Explore conceptually related problems

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig. 7.32). Show that (i) DeltaA B E~=DeltaA C F (ii) A B\ =\ A C , i.e., ABC is an isosceles triangle.

ABC is an isosceles triangle in which A B""=" "A C . Side BA is produced to D such that A D" "=" "A B (see Fig. 7.34). Show that /_B C D is a right angle.

ABC is an isosceles triangle with AB =AC and BD,CE are its two medians. Show that BD=CE .

In an isosceles triangle, prove that the angles opposite to equal sides are equal.

E and F are respectively the mid-points of equal sides AB and AC of DeltaA B C (see Fig. 7.28). Show that BF = C E .

In an isosceles triangle ABC with A B = A C , D and E are points on BCsuch that B E = C D (see Fig. 7.29). Show that A D= A E

Show that in an isosceles triangle, angles opposite to equal sides are equal.

AD and BC are equal perpendiculars to a line segment AB (see Fig. 7.18). Show that CD bisects AB.

In Delta ABC, AB = AC. D , E and F are mid-points of the sides BC, CA and AB respectively . Show that : AD is perpendicular to EF.

The sides AB and AC are equal of an isosceles triangle ABC. D E and F are the mid-points of sides BC, CA and AB respectively. Prove that: (i) Line segment AD is perpedicular to line segment EF. (ii) Line segment AD bisects the line segment EF.