Answer:
the length of its altitude is 34.64 cm
Step-by-step explanation:
Given;
length of a side of the equilateral triangle, L = 40 cm
All the sides of an equilateral triangle are equal
To get the altitude of the triangle, draw a perpendicular line from one of the vertices to intersect the opposite side.
Let the altitude = h
half of the opposite side intersected by the altitude = 20 cm
Apply Pythagoras theorem to determine the altitude 'h'
h² = 40² - 20²
h² = 1200
h = √1200
h = 34.64 cm
Therefore, the length of its altitude is 34.64 cm
