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 , 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: An equilateral triangle of side 9cm. An isosceles triangle with equal side 8cm each and third side 6cm. An isosceles triangle A B C , with A B=A C=10 c m and altitude from A on B C equal to 8cm. A regular hexagon with each side measuring 8cm.

ABC is an isosceles triangle inscribed in a circle of radius rdot If A B=A C and h is the altitude from A to B C , then triangle A B C has perimeter P=2(sqrt(2h r-h^2)+sqrt(2h r)) and area A= ____________ and = __________ and also ("lim")_(xvec0)A/(P^3)=______

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

Find B and C of a triangle ABC, if b = 2 cm, c = 1 cm and A=60^(@) .

Fill in the blanks in the following so that each of the following statements is true Sides opposite to equal angles of a triangle are ....... Angle opposite to equal sides of a triangle are ....... In an opposite to equal sides of a triangle are ....... In a A B C if /_A=/_C , then A B= ..... If altitudes C E a n d B F of a triangle A B C are equal, then A B= ........ 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 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 ~= ....

In an acute angled triangle ABC, if tan(A+B-C)=1 and ,sec(B+C-A)=2, find the value of A,B and C.

In triangle ABC, if (c+a+b)(a+b-c)=ab, Find the value of /_C.

In a triangleABC, a=13cm, b=12 and c=5cm The distance of A from BC is