The angles in a right triangle form an arithmetic progression. If the smallest angle is 13 degrees, then what is the largest angle?

Guest Jul 2, 2020

#1**0 **

*The angles in a right triangle form an arithmetic progression. If the smallest angle is 13 degrees, then what is the largest angle?*

The total of the internal angles of every triangle is 180^{o}

The right angle in the right triangle takes up 90^{o} of those 180^{o}

Thus, the largest angle in a right triangle always has to be the right angle, i.e. **90 ^{o}**

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Guest Jul 2, 2020

#2**0 **

The angles in a right triangle form an arithmetic progression. If the smallest angle is 13 degrees, then what is the largest angle?

I think that nither arithmetic nor geometric progression can be applied to the angles of the right triangle.

arithmetic progression 13º 51.5º 90º wrong!

geometric progression 13º 34.205275º 90º

Guest Jul 3, 2020

#3**0 **

1. IF you'd said the smallest angle is 30^{o} instead of 13^{o}

then we could have an arithmetic progression.

30^{o} - 60^{o} - 90^{o} the largest angle __still__ is the 90^{o} angle.

In a right triangle, the 90^{o} angle is always the largest

angle because neither of the other angles can be 90^{o}

2. IF you'd said simply triangle, instead of right triangle,

then the arithmetic progression is 13^{o} - 60^{o} - 107^{o}

Did you really mean to ask one of the two cases above?

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Guest Jul 3, 2020