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Find the radius of the incircle of an equilateral triangle of side 8 cm ?
- a)4/√3 cm
- b)4√3 cm
- c)4√3/2 cm
- d)√3/2 cm
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Find the radius of the incircle of an equilateral triangle of side 8 c...
Height of equilateral triangle = √3a/2= 8√3/2 = 4√3cm
Radius of incircle = \frac{height}{3}3height = 4√3/3 = 4/√3 cm
So the answer is option A.
Most Upvoted Answer
Find the radius of the incircle of an equilateral triangle of side 8 c...
The radius of the incircle of an equilateral triangle can be found using the formula:
radius = (side length) / (2 * √3)
Given that the side length of the equilateral triangle is 8 cm, we can substitute this value into the formula:
radius = 8 cm / (2 * √3)
Simplifying this expression, we get:
radius = 4 cm / √3
To rationalize the denominator, we multiply the numerator and denominator by √3:
radius = (4 cm / √3) * (√3 / √3)
This gives us:
radius = (4√3 cm) / 3
So, the radius of the incircle of the equilateral triangle is (4√3 cm) / 3.
radius = (side length) / (2 * √3)
Given that the side length of the equilateral triangle is 8 cm, we can substitute this value into the formula:
radius = 8 cm / (2 * √3)
Simplifying this expression, we get:
radius = 4 cm / √3
To rationalize the denominator, we multiply the numerator and denominator by √3:
radius = (4 cm / √3) * (√3 / √3)
This gives us:
radius = (4√3 cm) / 3
So, the radius of the incircle of the equilateral triangle is (4√3 cm) / 3.
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Find the radius of the incircle of an equilateral triangle of side 8 cm ?a)4/√3 cmb)4√3 cmc)4√3/2 cmd)√3/2 cmCorrect answer is option 'A'. Can you explain this answer?
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