Question

altitude of an equilateral triangle is 5.3cm find its area

Answer 1

altitude = 5.3
then
$\frac{ \sqrt{3} }{2} a = 5.3$

$a = \frac{10.6}{ \sqrt{3} }$
then area = 1/2 ×base×height
= 1/2×10.6/root 3 × 5.3
=
$\frac{48.09}{ \sqrt{3} }$
here root 3 = 1.732

then area = 48.09/1.732
= 48090/1732
= 27.77cm^2 (aprox.)

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