find the length of that altitude of an equilateral triangle of side 3 root 3 centimetre
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Answered by
13
Answer:
Side = 3√3
Altitude of equilateral triangle = Side × √3/2
= 3√3 × √3/2
= 9/2
= 4.5
Hope it will help you.✌️
Answered by
19
Given :-
length of the side of an equilateral triangle = 3√3cm
formula to find area of an equilateral triangle = √3s²/4
where s is the side of the triangle.
therefore area of the triangle = √3(3√3)/4
= (3 × 3)/4
= 9/4cm²
also formula to find the area of a triangle is 1/2 × b × h
where b is the side of the triangle and h is the altitude of the triangle.
➡ 1/2 × b × h = 9/4cm²
➡ 1/2 × 3√3 × h = 9/4cm²
➡ h = 9/4 × 2/3√3
➡ h = 9/(2 × 3 × √3)
➡ h = 3/2√3
by rationalizing, we get
h = √3/2 cm
hence, the altitude of the triangle is √3/2cm
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