Question

Q1. The area of an equilateral triangle of side 40 cm is
w
) 2003
O
400
400 3
200​

Answer 1

Step-by-step explanation:

Given side of an equilateral triangle = 40 cm

• We know that area of any equilateral triangle = √3/4 × side²

• So, area of given equilateral triangle -

= √3/4 × (40)²

= √3/4 × 1600

= √3 × 400

= 400√3 cm²

• Therefore, area of the given equilateral triangle = 400√3 cm²

< marquee > Hence, your answer is 400√3 cm². < /marquee ><marquee>Hence,youransweris400√3cm².</marquee>

Answer 2

$Let \: side \: of \: an \: equilateral \: triangle$

$a = 40 \:cm$

$Area \: of \: the\: triangle = \frac{\sqrt{3}}{4} \times a^{2}$

$= \frac{\sqrt{3}}{4} \times 40^{2}$

$= \frac{\sqrt{3}}{4} \times 40\times 40$

$= \sqrt{3} \times 40\times 10$

$= 400\sqrt{3} \:cm^{2}$

Therefore.,

$\red{Area \: of \: the\: triangle}\green { = 400\sqrt{3} \:cm^{2}}$

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