Question

Find the area of an equilateral triangle whose side length is 7 cm.​

Answer 1

Answer:

Area of equilateral triangle = √3/4 a^2

where, a = side

= √3/4 × (7)^2

= √3/4 × 49

= 21.22 cm^2

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Step-by-step explanation:

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Answer 2

Given :-

• length of triangle is 7 cm

To find:-

• Area of equilateral triangle

Solution :-

• $\frac{√3}{4}$×a²

• put value

• $\frac{√3}{4}$×7²

• $\frac{√3}{4}$×49

• put √3=1.73

• $\frac{1.73}{4}$×49

• $\frac{84.77}{4}$

• 21.1925 square centimeter

More to know:-

• equilateral is formed by two words equi meaning equal and Lateral meaning sides
• an equilateral triangle is also called a regular polygon since all its sides are equal

Basic properties of equilateral triangle:-

• All three sides are equal
• all three angles are equal (60°)
• The ortho-center and centroid are at the same point
• The perimeter of am equilateral triangle is 3a
• Area of equilateral triangle is$\frac{√3}{4}$×a²
• In an equilateral triangle median angle bisector and altitude for all sides are all the same

Thanks

hope its helpful