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3 years ago

In the figure below, BD bisects ∠ABC. What is the length of AB?

Mathematics

1 answer:

dimaraw [331]3 years ago

3 0

Answer:

D. 12

Step-by-step explanation:

Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:

AB/AD = CB/CD

Substitute

AB/8 = 6/4

Cross multiply

AB*4 = 6*8

AB*4 = 48

AB = 48/4

AB = 12

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If the radius of a half-circle is 11...

Xelga [282]

By giving just the radius and asking for the arc length of that circle your answer will be without math is 22
π
feet

But;

Let’s do same math!

Arc length = (()/360)⋅2⋅⋅
(
(
a
n
g
l
e
o
f
a
r
c
)
/
360
)
⋅
2
⋅
π
⋅
r

In this case angle of arc was not specified so: 360∘
∘
was used.

Arc length = ((360)/360)⋅2⋅⋅11
(
(
360
)
/
360
)
⋅
2
⋅
π
⋅
11

Arc length = 22
π
feet

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