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-Dominant- [34]
2 years ago
5

Prove: The segment joining the midpoints of two sides of a triangle is parallel to the third side.

Mathematics
1 answer:
erik [133]2 years ago
5 0

Answer:

As per theorem Segment joining midpoints of two sides of a triangle is parallel to the third side.

Step-by-step explanation:

Given : In a triangle ABC, D and E are the midpoint of sides AB and AC.

To Proof : DE║BC

Construction: A line CF parallel to BA is drawn and De is extended to point F.

Proof : In a triangle ADE and EFC

Sides AD║CF and DF is transverse.Then ∠ADE = ∠CFE (Alternate angles)

Similarly AD║CF and AC is transverse then ∠DAE = ∠FCA (Alternate angles)

Therefore ΔADE≅ΔCEF (AAS property)

From this property side AD = Side CF (corresponding sides of the congruent triangles)

Therefore BD = CF

So sides BD and CF are equal and parallel to each other which represents DBCF is a parallelogram.

Therefore DE║BC

Hence proved.

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What is 19% of 72? I NEED TO KNOW HOW YOU GOT THE ANSWER TO!!
irinina [24]
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3 years ago
The graph of the equation y=|x+5| is shifted 2 units up and 6 units to the right. Rewrite the equation of the new graph for the
DerKrebs [107]

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Step-by-step explanation:

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3 years ago
A researcher was studying how the weights of horseshoe crabs along the East Coast vary between northern and southern habitats. I
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Answer:

Option D (the weight of crab) would be the correct choice.

Step-by-step explanation:

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Some other preferences are not connected with the sustaining. So choice D is the right one.

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3 years ago
Simplified form of expression 125 2/3
masha68 [24]

Answer:

377/3

Step-by-step explanation:

In general if we have a fraction ( mixed) as ,

a\dfrac{c}{d}

Then the improper fraction will be ,

<u>Improper</u><u> fraction</u><u> </u><u>:</u><u>-</u><u> </u>

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Using this concept we have ,

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→ 125 × 3 + 2 / 3

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→ 377/3

<h3>Hence the simplified form of the expression is 377/3 .</h3>
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3 years ago
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