richardsonsean29 richardsonsean29

01-09-2021
Mathematics

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AlgebraicAardvark AlgebraicAardvark

01-09-2021

Because the two triangles are similar, one is a scaled down version of the other.

You can figure out that scale by comparing two matching sides, in this case AD and AB.

AD = 2 and AB = 2+4 = 6

So 2/6 = 1/3, telling us each side of the smaller triangle is 1/3 the size of the original.

Now we need to find ED and know CB = 12. Knowing ED = 1/3 of CB:
ED = 1/3 • 12 = 4

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