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Ludmilka [50]
2 years ago
14

Find the altitude of an equilateral triangle whose perimeter is 18

Mathematics
1 answer:
Rainbow [258]2 years ago
5 0

Answer:

3√3 units

Step-by-step explanation:

We are asked to find the altitude of the equilateral triangle whose perimeter is 18 . Firstly let us find the side of the∆.

\rm \implies a + a + a = 18 \\\\\rm\implies 3a = 18  \\\\\rm\implies a = 6

Now we know that in a equilateral triangle , the altitude of the triangle with side length a is ,

\rm\implies Altitude =\dfrac{\sqrt3}{2} a

Plug in the value of a that is 6 , we will get ,

\rm\implies Altitude =\dfrac{\sqrt 3}{2} a  \\\\\rm\implies Altitude =\dfrac{ \sqrt3}{2}\times 6  \\\\\rm\implies Altitude = \sqrt3 \times 3  \\\\\rm\implies\boxed{ \bf Altitude = 3\sqrt3 \ units }

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