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

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 ~= ....

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 which of the following cases can a right triangle A B C be constructed? A B=5\ c m ,\ B C=7\ c m ,\ A C=10\ c m A B=7\ c m ,\ B C=8\ c m ,\ A C=12\ c m A B=8\ c m ,\ B C=17\ c m ,\ A C=15\ c m None of these

In Figure, A B C is an isosceles triangle in which A B=A CdotC P A B and A P is the bisector of exterior /_C A D of A B C . Prove that /_P A C=/_B C A and (ii) A B C P is a parallelogram.

Triangle A B C is right angled at AdotA D is perpendicular to B Cdot If A B=5 c m , B C=13 c m and A C=12 c mdot Find the area of A B Cdot Also, find the length of A Ddot

If the altitude from one vertex of a triangle bisects the opposite side, then the triangle is isosceles. GIVEN : A A B C such that the altitude A D from A on the opposite side B C bisects B C i.e., B D=D Cdot TO PROVE : A B=A C i.e. the triangle A B C is isosceles.

Draw a triangle A B C with A B=6\ c m ,\ B C=7\ c m and C A=8\ c mdot Using ruler and compass alone, draw (i) the bisector A D\ of \ /_A and (ii) perpendicular A L from A on B Cdot Measure L A Ddot

In Fig. 4.144, we have A B C D E F . If A B=6c m , C D=x\ c m , E F=10 c m , B D=4c m and D E=y\ c m , calculate the values of x and y . (FIGURE)

In Fig. 4.178, D E B C (FIGURE) If D E=4c m , B C=6c m and Area ( A D E)=16 c m^2 , find the area of A B C . (ii) If D E=4c m , B C=8c m and Area ( A D E)=25 c m^2 , find the area of A B C . (iii) If D E : B C=3:5 . Calculate the ratio of the areas of A D E and the trapezium B C E D .