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Which triangle is it ?

Which triangle is it ?-example-1
User Yens
by
5.8k points

1 Answer

7 votes
The answer is: The first triangle. The reasons are shown below:

1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:

Tan(α)^-1= opposite leg/adjacent leg

Opposite leg=5
Adjacent leg=5√3

Tan(α)^-1= 5/5√3
Tan(α)^-1=30°

2. Let's calculate the other angle:

Tan(α)^-1= opposite leg/adjacent leg

Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:

Tan(α)^-1= 5√3/5
Tan(α)^-1=60°

As you can see, the angles of first triangle are: 30°,60° and 90°.
User Sukhbir
by
6.3k points