#Trignale

36 messages · Page 1 of 1 (latest)

frigid plover
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ED is a midline of triangle ABC. Find the area of triangle AED if area of ABC is 20.

Screenshot_2025-03-01_at_22.34.29.png
tacit radishBOT
#
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worthy knoll
frigid plover
worthy knoll
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And is there a relation between the areas of AED and BED?

frigid plover
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i mean are u asking me personally?

worthy knoll
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Ah, sorry, it did seem like I was asking whether there's more in the statement.

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Sorry, that wasn't my intention.

frigid plover
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ok

worthy knoll
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What I meant was to try and notice a property they both share.

frigid plover
worthy knoll
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Well, they share a side ED, right?

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And what about the height onto that side?

frigid plover
worthy knoll
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These are the heights I was talking about.

image.png
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Notice anything about them?

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Remember that ED is the midline of ABC.

frigid plover
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Ohhhhhh i goot it.

worthy knoll
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Yeah, nice!

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And now it should be obvious what S(AED) is.

frigid plover
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so their area is same too

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?

worthy knoll
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Yeah.

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After all, for any triangle we have S = (1/2)bh.

frigid plover
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because same heights are on the same side

worthy knoll
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Yes.

frigid plover
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yeah okey. What to do when sometimes i cant notice this? Or it is just a practise?

worthy knoll
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Just practice.

frigid plover
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+close

silk sableBOT
# frigid plover +close
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silk sableBOT
# silk sable

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