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Question
In figure, ΔABC is an isosceles triangle with perimeter 44 cm. The base BC is of length 12 cm. Side AB and side AC are congruent. A circle touches the three sides as shown in the figure below. Find the length of the tangent segment from A to the circle.
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Solution
Given:- In an isosceles triangle ΔABC side AB ≅ side AC,
Perimeter = 44 cm and base BC = 12 cm.
Perimeter of ΔABC = 44 cm
AB + BC + AC = 44
AB + BC + AB = 44 .............(side AB ≅ side AC)
2AB + 12 = 44 ..............(side BC = 12)
2AB = 44 - 12 = 32
AB = 32/2 = 16
AB = AC = 16
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