Question

6. Find the area of the triangle formed by joining the midpoints of the
sides of the triangle whose vertices are A(2,1), B(4, 3) and C(2,5).​

Answer 1

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Find the area of the triang...

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Asked on January 17, 2020 byKanishka Londhe

Find the area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are (2,2), (4,4) and (2,6).

A

5

B

3

C

1

D

0

HARD

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ANSWER

Let A(2,2),B(4,4) and C(2,6) be the vertices of a given triangle ABC.

Let D, E, and F be the midpoints of AB, BC and CA respectively.

Mid point of two points (x1,y1) and (x2,y2) is  calculated by the formula (2x1+x2,2y1+y2)

Using this formula,the coordinates of D, E, and F are given as D(22+4,22+4),E(24+2,24+6) and F(22+2,22+6)

i.e., D(3,3),E(3,5)andF