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sanjay yadav

· started a discussion

· 1 Months ago

EXPLAIN (Question: 107905.0 )

HOW ANGLE = 30

Question:
Three circles are touching each other externally. The radii of the circles are 2 meter each. What will be the perimeter of the triangle thus formed and shown in the figure?


Options:
A)

12(1 + \(\sqrt[]{3}\))

B)

10(1 + \(\sqrt[]{3}\))

C) 24
D) None of these
Solution:
Ans: (a)


Perimeter of \(\triangle\)ABC = 3 × (BC)

& BC = BP + PQ + QC


\(\therefore\) Perimeter = \(3\times 4(\sqrt[]{3+1})=12(\sqrt[]{3+1})\)

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Given triangle is equilateral triangle thus each angle have 60 degree. In the solution. Median (for equilateral triangle) at the point B bisect angle CBA thus we take 30 degree.

Keep learning with us!
Best wishes

Ambarish Gupta

· commented

· 1 Months ago

Bhai..Half angle 30 hi to hoga...

Shashank Shah

· commented

· 1 Months ago

For same radii, the traingle always formed will be equilateral triangle{Property of circle}
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