Q. 465.0( 2 Votes )
The line segments joining the midpoints of the sides of a triangle form four triangles, each of which is
A. congruent to the original triangle
B. similar to the original triangle
C. an isosceles triangle
D. an equilateral triangle
Answer :
In this figure,
As given that the inner triangle is formed by joining the midpoints of the sides.
Therefore the outer three triangles are similar to bigger triangle.
By Basic Proportionality Theorem,
The inner triangle is also similar to the bigger triangle.
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