ABC is an equilateral triangle of side 4V3 cm. P, Q and R are mid-points of AB, CA and BC
respectively. The area of triangle PQR is (in cm?
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Answer:
Area of triangle ABC=v3a2/4
=v3x(4 v3)^2/4=v3 x 16x3/4
= .12 v3cm2
Step-by-step explanation:
Area of the triangle is 1/4 of
area of triangle ABC
I/4 of 12v 3=3v3 cm2
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Let DEF be the midpoints of sides of a triangle ABC( with D on BC, E on AB and F on AC ). Now, considering triangles AEF and ABC, angles EAF = BAC and AE / AB = 1/2 and AF/AC = 1/2. ... The triangle formed by joining the mid-points of the equilateral triangle is also an equilateral triangle
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