Attachment 25195

It states that Segments AD, DF, FE, EC, and CB are all equal. Triangle ACB is a Right Triangle. That is all the information given. What is Angle A?

An explanation would be great because I can't seem to understand it!

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- Oct 12th 2012, 01:06 PMJacobFischerTricky Right Triangle Problem (Picture Included)
Attachment 25195

It states that Segments AD, DF, FE, EC, and CB are all equal. Triangle ACB is a Right Triangle. That is all the information given. What is Angle A?

An explanation would be great because I can't seem to understand it! - Oct 12th 2012, 02:52 PMMaxJasperRe: Tricky Right Triangle Problem (Picture Included)
Try A=40.6463194 (unchecked(Lipssealed))

- Oct 12th 2012, 03:49 PMSorobanRe: Tricky Right Triangle Problem (Picture Included)
Hello, JacobFischer!

Quote:

Attachment 25195

Segments AD, DF, FE, EC, and CB are all equal.

Triangle ACB is a Right Triangle.

What is angle A?

Let = angle A.

We will calculate all the angles in the diagram.

Write these figures in your diagram as we go along.

Since is isosceles,

Since is an exterior angle,

Since is isosceles,

Then

Hence,

Since is isosceles,

Then

Hence,

Since is isosceles,

Hence, .[1]

But we know that:

. . That is: . .[2]

Substitute [1] into [2]: .

. . and we have: .