prove that the triangle is isosceles
Answers
since, altitudes from two vertices are equal
therefore, angle opp to them must be equal.
therefore draw a seg as bisector from one vertex of triangle
then prove the new triangle formed similar
show that ,
two segments congruent to each other by c.s.c.t
Hey here is your answer
Q - Show that in a right angled triangle, the hypotenuse is the longest side ..
Ans :-
To Prove :- The hypotenuse is the longest side.
Proof :-
In triangle ABC
angle B = 90°
angle B > angle C (because it is a right angle)
AC > AB -(1) (In a triangle greater angle has longer side opposite to it.)
angle B > angle A (because it is a right angle)
AC > BC -(2) (In a triangle greater angle has longer side opposite to it.)
comparing (1) and (2)
AC is the longest side.
so hypotenuse is the longest side.
Hence proved !!!
Hope this helps you