the area of an equilateral triangle is 5cm what is its area (given that root 2 =1.732
Answers
Step-by-step explanation:
(i) Consider a as the side of equilateral triangle i.e. a = 8cm
Area of an equilateral triangle = (
3
×a
2
)/4 sq units
So we get
Area of the equilateral triangle = (
3
×8
2
)/4
On further calculation
Area of the equilateral triangle = (
3
×64)/4
So we get
Area of the equilateral triangle =
3
×16
By substituting the value of
3
Area of the equilateral triangle = 1.732×16=27.712
By correcting to two places of decimal
Area of the equilateral triangle = 27.71cm
2
(ii) We know that
Height of an equilateral triangle =
3
/2a
By substituting the value
Height of an equilateral triangle =
3
/2×8
So we get
Height of an equilateral triangle =
3
×4
By substituting the value of
3
Height of an equilateral triangle = 1.732×4=6.928
By correcting to two places of decimal
Height of an equilateral triangle = 6.93 cm
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Answer:
the area of 5cm is 10.38cm.
Step-by-step explanation:
Area of equilateral triangle:. Area = √3/4×(sides)². Area=√3/4×(5)²=25√3/4=10.83cm²