Question

Q6. Find the height of an equilateral triangle of area 36 root 3cm².

Answer 1

Answer:

Step-by-step explanation:

Let a be the side of equilateral triangle.

Area of equilateral triangle = (√3)a²/4

(√3)a²/4 = 36√3

a²=36*4

a²=144

a= 12

Height = √3a/2

=√3*12/2

= 6√3

Answer 2

Step-by-step explanation:

Height =Altitude

Area=

$36 \sqrt{3}$

$\frac{ \sqrt{3} }{4} {a}^{2} = 36 \sqrt{3}$

a=12

a/2=6

$- {( \frac{a}{2} )}^{2} + {a}^{2} = (altitude) square$

144-36=Altitude square

6√3Cn

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