Answer:
27 cm
Step-by-step explanation:
6 cm is the side of this equilateral triangle.
Length of angle bisector = AD² = bc [1 − {a²/(b + c)²}]
Now, a=b=c
so, AD² = a²[1 − {a²/(2a)²}] = a² - a⁴/4a² = a² - a²/4 = 3a²/4 = 3(6)²/4
= 3 x 36/4 = 3 x 9 = 27 cm
so, AD = √27 = 3√3 cm
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Answers & Comments
Answer:
27 cm
Step-by-step explanation:
6 cm is the side of this equilateral triangle.
Length of angle bisector = AD² = bc [1 − {a²/(b + c)²}]
Now, a=b=c
so, AD² = a²[1 − {a²/(2a)²}] = a² - a⁴/4a² = a² - a²/4 = 3a²/4 = 3(6)²/4
= 3 x 36/4 = 3 x 9 = 27 cm
so, AD = √27 = 3√3 cm