Triangle Side Correspondence: Finding AB When Angles B=D and A=F

Look at the following two triangles:

AAABBBCCCDDDEEEFFFAngles B and D are equal.
Angles A and F are equal.

Which side corresponds to AB?

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Step-by-step video solution

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00:00 Which side corresponds to side AB?
00:03 Angles are equal according to the given data
00:10 We can conclude that these angles are also equal
00:17 Let's write the similarity ratio according to the corresponding angles
00:29 We'll determine from the similarity ratio which side corresponds to AB
00:35 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the following two triangles:

AAABBBCCCDDDEEEFFFAngles B and D are equal.
Angles A and F are equal.

Which side corresponds to AB?

2

Step-by-step solution

As we have two equal angles, we will use the angle-angle theorem to simulate triangles.

We will compare the vertices:A=F,B=D A=F,B=D

According to the data it seems that:

Side AC corresponds to side EF.

Side BC corresponds to side DE.

Therefore, side AB corresponds to side FD.

3

Final Answer

FD FD

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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