 Hello and welcome to the session. My name is Mansi and I am going to help you with the following question. The question says A, B, C is an isosceles triangle in which altitudes B, E and C, F are drawn to equal sides A, C and A, B respectively. Show that these altitudes are equal. Let us start with the solution to this question. We first consider the two triangles that is angle A, F, C and triangle A, B, E. So we see that in triangle A, B, E and triangle A, F, C. First thing we see here that angle A, E, B is equal to angle A, F, C because C, F and B are perpendicular drones on A, C and A, B. So the first thing is angle A, E, B is equal to angle A, F, C because V, E and C, F are altitudes. Second part we see that angle A is equal to angle A, that is the common angle in two triangles and third we see A, B is equal to A, C that is given to us in the question. Therefore triangle A, B, E is congruent to triangle A, C, F by A, A, S that is angle angle site congruence rule. Therefore, B, E becomes equal to C, F, C, P, C, T that is congruent parts of congruent triangles. Hence the altitudes are equal. Hence proved. So I hope you understood the question and enjoyed the session. Have a good day.