Home
Class 9
MATHS
ABC is an isosceles trian gle in w h ich...

ABC is an isosceles trian gle in w h ich altitudes BE and CF are drawn to equal sides AC and AB respectively (see the given figure). Show that these altitudes are equal.

Text Solution

Verified by Experts

The correct Answer is:
BE
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 7.3|5 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 7.4|6 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise SUMS TO ENRICH REMEMBER|9 Videos

  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS|18 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 the given figure). Show that ( i ) triangle ABE ~= triangle ACF (ii) AB = AC i.e ABC is an isoceles triangle

triangle ABC is an isosceles tr ia n g le in w h ich AB = AC. Side BA is produced to D such that AD = AB (see the given figure). Show that angle BCD is a right angle.

ABC is an isosceles triangle in which AB=AC bisects exterior angle PAC and CD||AB (See the given figure ). Show that ABCD is a parallelogram

E and F are respec­tively the midpoints of equal sides AB and AC of triangle ABC (see the given figure). Show that BF = CE.

ABC is an isosceles triangle in which AB=AC bisects exterior angle PAC and CD||AB (See the given figure ). Show that /_DAC = /_BCA

AD and BC are equal perpendiculars to a line segment AB (see the given figure) Show that CD bisects AB.

D is a point on side BC of triangle ABC such that AD = AC (see the given figure). Show that AB gt AD.

ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that angle ABD = angle ACD .

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see the given figure). Show that AD = AE.