3 years ago

In △ABC, point D∈ AB with AD:DB=5:3, point E∈ BC so that BE:EC=1:4. If AABC=40 in2, find AADC, ABDC, and ACDE.

Mathematics

1 answer:

DIA [1.3K]3 years ago

8 0

Answer: Using the proportions between the segments, the area of the triangles are:

1. Area of triangle ADC is 25 in^2.

2. Area of triangle BDC is 15 in^2.

3. Area of triangle CDE is 12 in^2.

Please, see the attached files.

Thanks.

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let's call G the intersection point of EF & BC.

according to the thales' theorem:

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and EF= EG+GF=EG+3

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length of the altitude of △AED=EF

EF=EG+GF=1.5+3=4.5

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Answer:

Step-by-step explanation:

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