find the length of angle bisector of triangle abc where a = 6 CM B = 6 CM C = 6 CM
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evelyn98:
From Maharashtra
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Answer:
Length of Angle Bisector = 3√3 cm = 5.19 cm
Step-by-step explanation:
find the length of angle bisector of triangle abc where a = 6 CM B = 6 CM C = 6 CM
in ΔABC all sides = 6 cm
so this is an equilateral triangle
Area of Equilateral triangle = √3 / 4 * (Side)²
= (√3 / 4 ) * 6²
= (√3 / 4 ) * 36
= 9 √3
Angle bisector of Equilateral triangle is perpendicular to line it intersect
Area of Triangle = (1/2) * Base * Height
= (1/2) * 6 * Height
= 3 * height
Equating both areas
3 * height = 9 √3
=> height = 3√3 cm
Length of Angle Bisector = 3√3 cm = 5.19 cm
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