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Answers
Answer:
Given: Each side of an equilateral triangle is 30 cm.
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\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}
†Asweknowthat:
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\star\:\boxed{\sf{\pink{Area \: of \: equilateral \: \triangle = \dfrac{\sqrt{3}}{\:4} (a)^2 \ cm}}}⋆
Areaofequilateral△=
4
3
(a)
2
cm
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Here, a is each side of the equilateral triangle.
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Therefore,
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\begin{gathered}:\implies\sf Area_{\:\triangle} = \dfrac{\sqrt{3}}{2} \times \Big(30 \Big)^2 \\\\\\:\implies\sf Area_{\:\triangle} = \dfrac{\sqrt{3}}{2} \times 30 \times 30 \\\\\\:\implies{\underline{\boxed{\frak{\purple{Area_{\:\triangle} = 225\sqrt{3}\:cm^2}}}}}\:\bigstar\end{gathered}
:⟹Area
△
=
2
3
×(30)
2
:⟹Area
△
=
2
3
×30×30
:⟹
Area
△
=225
3
cm
2
★
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\therefore\:{\underline{\sf{Hence, \ Area \ of \ equilateral \ \triangle \ is \ \bf{225 \sqrt{3} \ cm^2}.}}}∴
Hence, Area of equilateral △ is 225
3
cm
2
.
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\begin{gathered}\qquad\qquad\boxed{\bf{\mid{\overline{\underline{\pink{\bigstar\: Additional \: Information \: :}}}}}\mid}\\\\\end{gathered}
∣
★AdditionalInformation:
∣
Equilateral triangle is a triangle in which all the three sides have equal length.
The sum of all three angles of an equilateral triangle is equal to 180°
Altitude of equilateral triangle = \sf\dfrac{\sqrt{3}a}{2}
2
3
a
Perimeter of equilateral triangle = Sum of all sides. (a + a + a)
Step-by-step explanation:
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Answer:
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