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2 years ago

Given ΔADC and ΔAEB, What is AE?

Mathematics

1 answer:

Scilla [17]2 years ago

3 0

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the

2. is common to both the triangles.

3. Two angles are common, so the third angle is also equal to .

All the three angles in the are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE = units

Side AD = AE + ED

So, AD =

Using the ratio:

So, AE = 43.2 units

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