Question

2.
Find the length of angular bisector (B ) of AABC, where a = 6 cm, b = 6 cm, c = 6 cm.
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Answer 1

in ΔABC all sides = 6 cm

in ΔABC all sides = 6 cmso this is an equilateral triangle

Area of Equilateral triangle = √3 / 4 * (Side)²

Area of Equilateral triangle = √3 / 4 * (Side)²= (√3 / 4 ) * 6²

9 √3

Angle bisector of Equilateral triangle is perpendicular to line it intersect

Angle bisector of Equilateral triangle is perpendicular to line it intersectArea of Triangle = (1/2) * Base * Height

3 * height

Equating both areas

Equating both areas3 * height = 9 √3

Equating both areas3 * height = 9 √3=> height = 3√3 cm

Length of Angle Bisector = 3√3 cm = 5.19 cm

Answer 2

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