In an isosceles triangle `A B C` , if `A B=A C=13` cm and the altitude from `A` on `B C` is 5 cm, find `B C` .

In an isosceles triangle A B C ,\ A B=A C=25 c m ,\ \ B C=14 c m . Calculate the altitude from A on B C .

In an isosceles triangle A B C , if A B=A C=25 c m and B C=14 c m , then the measure of altitude from A on B C is (a) 20cm (b) 22cm (c) 18cm (d) 24cm

Find the perimeter of each of the following shapes: a) An equilateral triangle of side 9cm. b) An isosceles triangle with equal side 8cm each and third side 6cm. c) An isosceles triangle A B C , with A B=A C=10 c m and altitude from A on B C equal to 8cm. d) A regular hexagon with each side measuring 8cm.

In an isosceles triangle altitude from the vertex bisects the base. GIVEN : An isosceles triangle A B C such that A B=A C and an altitude A D from A on side B Cdot TO PROVE : D bisects B C i.e. B D=D Cdot Figure

If DeltaA B C is an isosceles triangle such that A B=A C ,\ then altitude A D from A on B C bisects B C (Fig.43).

If A B C is an isosceles triangle such that A B=A C and A D is an altitude from A on B C . Prove that (i) /_B=/_C (ii) A D bisects B C (iii) A D bisects /_A

If A B C is an isosceles triangle such that A B=A C and A D is an altitude from A on B C . Prove that (i) /_B=/_C (ii) A D bisects B C (iii) A D bisects /_A

In an isosceles triangle ABC. AB = BC = 10 cm and BC = 18 cm . Find the value of : tan ^(2) C - sec ^(2)B +2

In an isosceles triangle ABC. AB = BC = 10 cm and BC = 18 cm . Find the value of : sin ^(2) B + cos ^(2) C

Fill in the blanks in the following so that each of the following statements is true. (i) Sides opposite to equal angles of a triangle are ....... (ii) Angle opposite to equal sides of a triangle are ....... (iii) In an equilateral triangle all angles are ....... (iv) In a A B C if /_A=/_C , then A B=\ ..... (v) If altitudes C E\ a n d\ B F of a triangle A B C are equal, then A B= ........ (vi) In an isosceles triangle A B C with A B=A C , if B D\ a n d\ C E are its altitudes, then B D is .......... C E . (vii) In right triangles A B C\ a n d\ D E F , if hypotenuse A B=E F and side A C=D E , then A B C\ ~= ....