ABC is an equilateral triangle each of whose side is 4 root 3 cm. P,Q and R are mid points of AB.CA and BC respectively. the area of triangle PQR is ( in cm2 )
Answers
Answer:
4cm square pta nhi shi hai ki nhi
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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