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Question
Three circles touch each other externally. A triangle is formed when the centres of these circles are joined together. Find the radii of the circles, if the sides fo the triangle formed are 6 cm, 8 cm and 9 cm.
Three circles touch each other externally. A triangle is formed when the centres of these circles are joined together. Find the radii of the circles, if the sides fo the triangle formed are 6 cm, 8 cm and 9 cm.
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Solution
Let the radii of the circles be a, b, and c
Then we can write :
a+b = 6
b+c = 8
a+c = 9
By solving these equations we will get the values of a, b, and c as
a = 3.5, b = 2.5, and c = 5.5
Then we can write :
a+b = 6
b+c = 8
a+c = 9
By solving these equations we will get the values of a, b, and c as
a = 3.5, b = 2.5, and c = 5.5
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Three circles touch each other externally. A triangle is formed when the centers of these circles are joined together. Find the sum of the radii of the three circles, if the sides of the triangle formed are 6 cm, 8 cm and 9 cm.Join BYJU'S Learning Program
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