Math, asked by tanya020806, 2 months ago

if each side of equilateral triangle is 6 root 3 then find the altitude of an equilateral triangle.​

Answers

Answered by pinkibhera27
1

Answer:

2/—3cm2 this is the answer

Answered by tab698
1

Answer:

9 units

Step-by-step explanation:

The altitude of an equilateral triangle(h) = 9 units

Step-by-step explanation:

Given,

Each side of equilateral triangle(a) = 6\sqrt{3}6

3

unit

To find, the altitude of an equilateral triangle(h) = ?

We know that,

The altitude of an equilateral triangle(h) = \dfrac{\sqrt{3}}{2}.a

2

3

.a

=\dfrac{\sqrt{3}}{2}.6\sqrt{3}=

2

3

.6

3

=\sqrt{3}.3\sqrt{3}=

3

.3

3

= 3 × 3 units

= 9 units

∴ The altitude of an equilateral triangle(h) = 9 units

Thus, the altitude of an equilateral triangle(h) is equal to 9 units.

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