ABC is an equilateral triangle each of whose side is 4√3 cm. pqr are midpoints of AB, BC and CA respectively. the area of triangle pqr is
Answers
Answer:
Step-by-step explanation:
the area of the triangle =1/4*of the area of equilateral
=1/4*root 3(4root3)²/4
=1/4*root 3*16*3/4
=3root 3
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
Learn More:
b) A zoo is planned as shown in Fig. 8. Adjacent to it is a triangular ...
brainly.in/question/35532025
ABCD is a parallelogram. P is a point on DC such that area of ...
brainly.in/question/2555018