Question

the height of a equilateral triangle measures 9 root 3 find its area​

Answer 1

Answer:

AREA OF EQUILATEAL TRIANGLE = ROOT 3/ 4 × SIDE ^2

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Since it is a equilateral triangle all the angles measure 60 degree using this we find its base by trigonometry

H=9 root 3

B=x

Tan theta =opp/adj

Tan 60 = 9 root 3 /x

Root 3=9 root 3/x

On cross multiplication it becomes

Root 3 x=9 root 3

X =9 root 3/root 3

X = 9

B=9

Now area of triangle =1/2×B×H

= 1 by 2 × 9× 9 root 3

= 81 root 3/2cm square

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