Question

16. The area of an equilateral triangle is 81√3 cm. Its height is
(a) 9√3 cm (b) 6√3 cm (c) 18√3 cm (d) 9 cm​

Answer 1

Answer:

(c) 18√3

Step-by-step explanation:

area of equilateral triangle =√3/4×a^2

81√3=√3/4×a^2

a^2=81√3×4/√3

a^2= 81×4=324

a=9×2

a=18.

hight=√3×a

H=√3×18

H=18√3

Answer 2

Answer:

option A

9 root 3

Step-by-step explanation:

area of equilateral triangle( root3/4) ×a^2

(root 3/4)× a^2 = 81 root 3

81×4=a^2

324=a^2

a=18

height =(root3/2)×a

====(root 3 /2)×18

====9root3