Question

the area of an equilateral triangle is 5cm what is its area (given that root 2 =1.732​

Answer 1

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

Answer 2

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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