Question

Take several cut-outs of
(i) an equilateral triangle
(i) an isosceles triangle and
(iii) a scalene triangle.
Find their altitudes and medians. Do you find anything special about them? Discuss
with your friends.​

Answer 1

Given :   i) an equilateral triangle   , (ii) an isosceles triangle and

(i) a scalene triangle.

To find :  anything special  about altitudes and medians

Solution:

An altitude of a triangle is a line segment through a vertex  perpendicular to the side opposite the vertex  

Median of a triangle is a line segment through a vertex  which bisect the  side opposite the vertex  

(i) an equilateral triangle

all the Altitude & Median   are same   and coincide

(ii) an isosceles triangle

one altitude & one median is same

other two are different

iii) a scalene triangle.

none of the altitude & median is same

all are different

Answer 2

Answer:

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