Answer:
6.06cm
Step-by-step explanation:
An equilateral triangle is a triangle that has all its sides equal. If the given equilateral triangle has a side length of 7 cm, then all its sides are 7cm each. To get the length of the perpendicular dropped from a corner. we will use the Pythagoras theorem.
According to the theorem,
hyp² = opp²+adj²
Lets take the height as the opposite side of one of the right angled triangle as shown in the attachment.
hyp = 7cm and adj = 7/2 = 3.5cm
opp² = 7² - 3.5²
opp² = 49 - 12.25
Opp = √36.75
Opp = 6.06cm
This shows that the length of the perpendicular is 6.06m
