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4 years ago

How do you solve this

Mathematics

1 answer:

FromTheMoon [43]4 years ago

7 0

Try this solution (the required value is marked with red).

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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c

natali 33 [55]

Answer: By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are $(\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)$

Coordinate of E are $(\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)$

By the distance formula,

$DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}$

$AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}$

By the slope formula,

Slope of AC = $\frac{4-8}{8-6} = \frac{-4}{2} = -2$

Slope of DE = $\frac{3-5}{5-4} = \frac{-2}{1} = -2$

Statement Reason

1. The coordinate of D are (4,5) and 1. By the midpoint formula

the coordinate of E are (5,3)

2. The length of DE = √5 2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the 3. By the slope formula

slope of AC = -2

4. DE║AC 4. Slopes of parallel lines are equal

7 0

4 years ago

Read 2 more answers

I am sus lol so here is some points

Masja [62]

Hello.

Have a beautiful and joyful day ahead

Thanks for points..

3 0

3 years ago

Margie budgets a maximum amount of $27 to rent a bicycle. The rental company charges a $15 fee. What is the maximum amount of ho

svp [43]

Answer:

Step-by-step explanation:

you have 12 dollars left. divided by 4, is 3 hours

5 0

3 years ago

I need help asp . I'm running out of time

frutty [35]

Answer:

A = 104 ft²

Step-by-step explanation:

We're given that the width of the rectangle is 8 so that's the value of w. All we have to do is just plug in 8 into the equation:

A=w²+5w

A=(8)²+5(8)

A=64+40

A = 104 ft²

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3 years ago

A stock's value was projected to close at $400. The stock actually closed at a value of $328. What is the percent error of the s

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Answer:

A is the answer its 18 percent off

Step-by-step explanation:

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3 years ago

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