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Question
All the sides of the triangle ABC are tangential to the circle with centre R. What is the perimeter of ΔABC?
All the sides of the triangle ABC are tangential to the circle with centre R. What is the perimeter of ΔABC?
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Solution
The correct option is A 28 cm
If two tangents are drawn to a circle from an exterior point, then the tangents are equal in length.
In the above figure,
AX = AZ = 3 cm (Tangents from an exterior point are equal in length)
Similarly, XB = BY = 7 cm
And, YC = ZC = 4 cm
∴ Perimeter of ΔABC = AB + BC + CA
= 10 + 11 + 7
= 28 cm
28 cm
If two tangents are drawn to a circle from an exterior point, then the tangents are equal in length.
In the above figure,
AX = AZ = 3 cm (Tangents from an exterior point are equal in length)
Similarly, XB = BY = 7 cm
And, YC = ZC = 4 cm
∴ Perimeter of ΔABC = AB + BC + CA
= 10 + 11 + 7
= 28 cm
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