Question

The height oof the equilateral triangle with a side of 1 unit is _________ units

Answer 1

If we draw median of that triangle, that median will be hieght and it will divide base into half.
Therefore,

height² = hypotenuse² - base ² ( base will be 1/2units)

height²= 1²-(1/2)²

height ² = 1 - 1/4 units.

height ² = (4-1)/4 units.

height ² =3/4 units.

✓height² = ✓(3/4)

or, height= ✓3/2 units.

Answer, height of equilateral triangle with side 1 unit is ✓3/2 units.

Answer 2

Step-by-step explanation:

Area of equilateral triangle =

4

a

2

Also, area =

2

1

3

× base×height =

2

1

a×height

Thus,

4

3

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a

2

=

2

1

a×height

Therefore, height=

2

3