Question

what is the height of equilateral triangle having each side 12 cm​

Answer 1

Answer:

Let ABC be the equilateral triangle with AD as an altitude from A meeting BC at D. Then, D will be the midpoint of BC. Applying Pythagoras theorem in right-angled triangle ABD, we get: Hence, the height of the given triangle is 6√3 cm.

Step-by-step explanation:

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Answer 2

Question

• what is the height of equilateral triangle having each side 12 cm

Given

• BY THE DIAGRAM
• AB = 12cm
• AC = 12cm
• BC = 12cm ( BD = 1/2 × BC )
• BD = 6cm and DC = 6cm

Find

• Height of the triangle ?

Solution

Let ,

• ABC be the equilateral triangle with AD as an altitude from A meeting BC at D.

Then,

• D will be the midpoint of BC.

By Pythagoras theorem in right-angled triangle ABD

$\sf → AB^2=AD^2+BD^2 \\ \sf→ AD^2=12^2-6^2\\ \sf→ AD^2=144-36\\ \sf→ AD^2=108\\ \sf→ AD=\sqrt{108} \\ \sf AD=6\sqrt{3}$

Hence

• The height of triangle is 6√3 m