ABC is an equilateral triangle of side 4 root 3 CM p q and R are midpoints of a b ,c a and B C respectively find the area of triangle pqr
Answers
Answer:
3√3
Step-by-step explanation:
The area of Equilateral Triangle=1/4*Area of Equilateral Triangle
By Solving them
1/4*√3*(4√3)^2/4
1/4*√3*(16)3/4 NOTE:-4^2=16
= 3√3 square and √ will be cancelled
4,4 and 16 will be cancelled
please mark as brainlest answer
Given : ABC is an equilateral triangle each of whose side is 4√3 cm. P,Q and R are mid points of AB.CA and BC respectively.
To Find : the area of triangle PQR
Solution:
Equilateral triangle has each side equal
Area of an equilateral triangle = (√3/4)(side)²
All equilateral triangles are similar to each other
line joining the mid-point of two sides of a triangle is equal to half the length of the third side
PQ = QR = PR = 4√3/2 = 2√3 cm
Hence ΔPQR is also an equilateral Triangle
Area of ΔPQR = (√3/4)(2√3 )²
= (√3/4)(12)
= 3√3
Area of ΔPQR is 3√3 cm²
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