in triangle abc, bg = 24 mm. what is the length of segment ge? This is a topic that many people are looking for. bluevelvetrestaurant.com is a channel providing useful information about learning, life, digital marketing and online courses …. it will help you have an overview and solid multi-faceted knowledge . Today, bluevelvetrestaurant.com would like to introduce to you Find the lengths of segments using Concurrency of Medians of Triangles. Following along are instructions in the video below:
Everyone g. Is a centroid of this triangle that means were dealing with medians medians and we have a g ad. Sorry.
This total length is 15. So that of links 15c g. Is 13.
And ad is perpendicular to c b. And were going to be using this formula here and some others so well get started we need to find the length of a g. So were going to use our formula here of the theorem concurrency of medians of a triangle.
So we know that a t. Equals 2. 3.
Of the total length and the total length is ad is 15 so 3 goes into 15 5 times 5 times.
2. Is 10. So this is 10.
Then this must be 5. And this good to note that this part is always half of this part that will help you think have them to use that formula all the time all right gidi. Wheres gg.
Oh. We already did that one so 5. All right c d.
So this one right here we know this is 5. If you know your triples. The triples are 5 12 13.
If you dont know your pythagorean triples.
Youve got to use the pythagorean theorem. Say the 5 squared plus b. Squared.
Equals. 13. Squared.
Solve for that way and youll get your 12. Youll get b squared equals 144. And so forth at this point when youre doing this you should know your essential.
But that green triples by now so make sure you know i can write them down. There three four five make sure you know these five twelve thirteen seven twenty four twenty five eight fifteen seventeen you also need to know these for your sats and sometimes this one will pop up as well and all you have to do is multiply. These say by two and you get another pythagorean triple.
So lets finish this up so cd is 12 ge.
This is 13. Then this part is half of 13. So half of 13 or 13.
Divided by 2 is 6 point 5. So this is 6 point. 5 and g b.
So this length. So we know this is 12 and and this is 5. So again were using our triples if this is 12 and this is 5.
Then g b is going to be 13 based off the pythagorean theorem. So thats going to be 13. And thats it thank you have a nice day bye bye.
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