Question

Find the height of an equilateral triangle PQR whose side is 8 cm.
$a)\: \: 2 \sqrt{3}$
$b) \: \: 4 \sqrt{8}$
$c) \: \: 4 \sqrt{3}$
$d) \: \: 8 \sqrt{2}$




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Answer 1

Area of ΔPQR = √3/4 a²

= √3/4*(8)²

= √3/4*64

= √3*16

= 16√3 cm²

Area of ΔPQR = 1/2*b*h

16√3 = 1/2*8*h

16√3= 4h

h= 16√3/4

h=4√3 cm

Answer 2

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