Question

Find the height of an equilateral triangle having each side 12 cm.
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Answer 1

Answer:

The altitude of an equilateral triangle bisects the side on which it stands and forms right-angled triangles with the remaining sides.

So, CD=DB=6cm

Also in △ADC,∠ADC=90

∘

Applying Pythagoras theorem gives

(AC)

2

=(CD)

2

+(AD)

2

(12)

2

=(6)

2

+(AD)

2

144=36+(AD)

2

(AD)

2

=108

AD=

108

=6

3

cm

The height of equilateral triangle =6

3

cm

Answer 2

Answer:

12 cm

because all the sides of an equilateral triangle are always equal

explanation:

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