9. The height of an equilateral triangle having each side 12 cm is
(a) 62 (b) 63 (c) 36 (d) 6/6
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Step-by-step explanation:
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Answer:
height =6√3cm ar(∆) = 36cm
Step-by-step explanation:
altitude of equilateral triangle bisects the side on which forms right angled triangle
therefore,
CD=DB=6cm
also, ABC, angle ABC= 90°
On applying Pythagoras theorem
(AC)^2= (CD)^2 + (AD) ^2
( 12)^2=(6)^2+(AD)^2
(AD) ^2= 108
AD=√108
AD=6√3 cm
ar(∆)= 3×side
= 3×12
= 36 cm
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