Each side of an equilateral triangle is 10 cm long. The height of the triangle is –
We have,
Each side of the equilateral triangle = 10 cm
We know that,
In an equilateral triangle altitude divides its base into 2 equal parts
∴
Let the height be h
Now, by using Pythagoras theorem
102 = 52 + h2
100 = 25 + h2
h2 = 100 – 25
h2 = 75
h =
h = 5 cm
Hence, height of the triangle is 5 cm
Thus, option (b) is correct