Similar Triangles Investigation: Comparing Triangles ABC and DEF

Are the below triangles similar?

AAABBBCCCDDDEEEFFF

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Step-by-step video solution

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00:00 Are the triangles similar?
00:03 Isosceles triangle according to the given
00:07 In an isosceles triangle, base angles are equal
00:11 Sum of angles in a triangle equals 180
00:15 Therefore the third angle equals 180 minus the known angles
00:20 Equal angles according to the given
00:26 Let's substitute the angle value
00:35 Isosceles triangle according to the given
00:39 In an isosceles triangle, base angles are equal
00:44 The angles sum to 180
00:48 Therefore each angle equals A
00:53 Equal angles (EA)
01:01 The triangles are similar by AA
01:11 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Are the below triangles similar?

AAABBBCCCDDDEEEFFF

2

Step-by-step solution

Use the similarity theorems.

3

Final Answer

Yes

Practice Quiz

Test your knowledge with interactive questions

Angle B is equal to 60°

Angle C is equal to 55°

Angle E is equal to 60°

Angle F is equal to 50°

Are these triangles similar?

AAABBBCCCDDDEEEFFF

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