A square is drawn on the altitude of an equilateral
triangle of side 2 meters.
a) What is the area of the square?
b) What is the altitude of the triangle?
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Answer:
area=3
altitude=√3
Step-by-step explanation:
since it is a equilateral triangle, altitude is also a median
hence it divides the base side of traingle into equal parts
using pythagorus theorem
altitude^2=2^2-1^1
=4-1
=3
altitude=√3
since square is constructed on altitude it is one of its side
hence area of square=side^2=√3^2=3
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