Triangular fun

Geometry Level 2

Consider a triangle with vertices A , B A, B and C C such that the two of the interior angles are A = 2 0 \angle A = 20^{\circ} and B = 1 0 \angle B = 10^{\circ} .

What kind of triangle is it?

Equilateral Its actually an oblate spheroid Right There is no such triangle A four sided triangle Scalene None of these Isosceles

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2 solutions

David Pilling
May 26, 2016

Since all the sides will have different lengths, its s c a l e n e \boxed{scalene}

Ashish Menon
May 28, 2016

Two angles are 2 0 ° 20^° and 1 0 ° 10^° , so the other angle would be 180 ( 20 + 10 ) = 15 0 ° 180 - \left(20 + 10\right) = 150^° . Since all angles are different, the length of its sides would also be different, thus making it scalene \color{#69047E}{\boxed{\text{scalene}}} .

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