Question
Download Solution PDFThe circumradius of equilateral triangle is 5√3 cm. Find the inradius of same triangle.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The circumradius of an equilateral triangle is 5√3 cm
Formula used:
Circum radius of equilateral triangle = a/√3
In-radius of equilateral triangle = a/2√3
Where a is the side of the equilateral triangle
Calculation:
The circumradius of the equilateral triangle is 5√3 cm
∴ 5√3 = a/√3
⇒ a = 15 cm
Now, In radius of equilateral triangle = a/2√3 = 15/2√3 = 5√3/2 cm
Smart Trick
We know,
Circumradius/In-radius = 2/1
∴ In-radius = Circumradius/2 = 5√3/2
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