Question

Please solve this question

Answer 1

Answer:

Length of an equilateral triangle of each side is [4 cm.]

Step-by-step explanation:

(1). Solution:

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

=> √3/4 a^2 = 4√3 --[Given: area = 4√3cm^2]

=> a^2 = 4(4√3)/√3

=> a^2 = 16√3/√3

=> a^2 = 16√3 × √3/ √3×√3

=> a^2 = 16 × 3 / 3

=> a^2 = 48/3

=> a^2 = 16

=> a = √16

=> [a = 4 cm].

Where, 'a' is a length of an equilateral triangle.

Hence, each side of an equilateral triangle is

4cm.

(2). Answer: 2320/99

Solution: Let x = 23.43 bar on 43

= 23.434343...... (1)

Now, 100x = 2343.43333.....(2)

Subtracting equation (1) & (2), we get

=> 99x = 2320

=> x = 2320/99

Hence, x is in the form of p/q.

( p,q are integers , q ≠ 0 )

All steps are correct.

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Answer 2

Answer:

Answer 1:-

4 cm

Answer 2:-

2320/99

Step-by-step explanation:

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Solution 1:-

Area of triangle = √3 a²/4

Given area = 4√3 cm²

So, √3 a²/4 = 4√3

=>a² = 16

=> a = 4 cm

SOLUTION 2:-

Let,

x = 23.4343....   (1)

100x = 2343.4343....  [multiplying both sides by 100]  (2)

Now, by subtracting (2)-(1), we get

99x = 2320

x=2320/99