Triangles

Geometry Level 2

In the given figure angle ADE=angle B , AD =6.8, AE=8.6, BE=2.4 AND BC =5.5, FIND DE.

3.3 3.5 3.4 2.4

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1 solution

The triangle ABC is similar/proportional to ADE, because they have equal angles. Then this implies edges proportionals. Then ((8,6+2,4)=11=AB), AB/BC = 6,8/DE. From here, you can calculate DE=(6,8 x 5,5)/11=3,4

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