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3 years ago

What is BC ? Enter your answer in the box.

Mathematics

2 answers:

tamaranim1 [39]3 years ago

5 0

Answer-

The length of BC is 8 units.

Solution-

Mid-Point Theorem-

The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.

As given,

AD = DB, so D is the mid point of AB

FA = FC, so F is the mid point of AC

Hence, DF is the line segment connecting the midpoints of two sides of a triangle.

Applying the theorem,

BC = 2DF = 2×4 = 8 units

astraxan [27]3 years ago

4 0

Answer: BC= 8 units.

Step-by-step explanation:

In the given figure m, we have a Δ ABC in which point D and F are the mid point of sides AB and AC respectively .

We know that the Mid - segment theorem says that a line segment that connects the midpoints of two sides of a triangle is parallel to the third side and it should be equal to one-half of the third side.

Therefore , For the given situation , we have

$DF=\dfrac{1}{2}BC\\\\\Rightarrow\ BC= 2 DF$

Since DF = 4 units [Given ]

Then, $BC= 2(4)= 8\text{ units}$

Hence, BC= 8 units.

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Read 2 more answers

Write and graph the inverse variation in which y = 8 when x = –4.

sweet-ann [11.9K]

For this case we have that an inverse variation in a function is given by:
$y = k / x
$
For this case, we must find the value of the constant k.
To do this, we substitute the values of x = -4, y = 8.
We have then:
$8 = k / -4
$
Clearing k we have:
$k = (8) * (- 4)

k = -32$
Substituting the value of k we have that the inverse variation is:
$y = -32 / x
$
Note: see attached image.
Answer:
$y = -32 / x
$
See attached image.