What will be the height of an equleteral triangle having side 4 cm
Answers
Answered by
1
Let consider , equilateral ∆ ABC
All sides AB = BC = CA
Construct Perpendicular bisector from angle BAC and BC bisect at point O (BO=CO=2 cm)
Consider it a height
AB²=BO²+AO²
AO²=AB²-BO²
AO²=4²-2²
AO²=(4-2)(4+2)
AO=sqrt(2×6)
AO=2√3 cm
height of ∆ = 2√3 cm
..........................................
All sides AB = BC = CA
Construct Perpendicular bisector from angle BAC and BC bisect at point O (BO=CO=2 cm)
Consider it a height
AB²=BO²+AO²
AO²=AB²-BO²
AO²=4²-2²
AO²=(4-2)(4+2)
AO=sqrt(2×6)
AO=2√3 cm
height of ∆ = 2√3 cm
..........................................
Attachments:
Similar questions