find the altitude of an equilateral triangle of side 4cm
Answers
Answered by
1
Answer:
2√3 will be length of the altitude of triangle
As,
(4)²- (2)² = (altitude)²
√16-4 = √12
√12 = 2√3
Answered by
6
Answer:
Let ABC be a right angled triangle,
and AD be the altitude.
we know that altitude of equilateral triangle is bisector.
so, BD= CD
AND, AB= 1/2 BD
by pythagoras theorm,
AD^2= AB^2 + BD^2
4^2 = AB^2 + ( 1/2AB)^2
16 = AB^2 +1/4AB^2
16= 5/4AB^2
AB^2 = (16×4)/5
AB^2 = 64/5
AB= 8/√5 cm
AREA = 1/2×BASE×HEIGHT
area = 1/2× 8/√5× 4
area= 16/√5 cm^2
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