Parallel Line Geometry: Classifying Triangle ABC with Extended Side AE

AD is parallel to BC.
AE is an extension of side BA.

What type of triangle is ABC?

XXXXXXAAABBBCCCDDDEEEFFF90-X

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's identify the type of triangle ABC.
00:11 Look at the parallel lines given in the problem.
00:15 Remember, corresponding angles in parallel lines are the same.
00:19 The angles in a triangle always add up to 180 degrees.
00:24 To find the missing angle, subtract the known angles from 180.
00:31 After calculating, we see the angle is a right angle.
00:43 The perpendicular line cuts the vertex angle in half.
00:49 In an isosceles triangle, this perpendicular also divides the angle equally.
00:55 And there you have it, that's the solution!

Step-by-step written solution

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1

Understand the problem

AD is parallel to BC.
AE is an extension of side BA.

What type of triangle is ABC?

XXXXXXAAABBBCCCDDDEEEFFF90-X

3

Final Answer

Isosceles.

Practice Quiz

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If one of two corresponding angles is a right angle, then the other angle will also be a right angle.

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