That's Odd

Geometry Level 1

Which non-degenerate triangle cannot have one of its angles as 91 {91}^\circ ?

Isosceles triangle Scalene triangle All of these Right angled triangle

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2 solutions

Ashish Menon
Jun 10, 2016

An isosceles triangle can have its angles as 91 , 44.5 , 44.5 91,44.5,44.5
A scalene triangle can have its angles as 91 , 10 , 79 91,10, 79
A right angled triangle cannot have one of its angles as 91 ° {91}^° because one of its remaing angles would be 90 ° {90}^° , and 90 + 91 = 181 > 180 90 + 91 = 181 > 180 .

So, the answer is Right angled triangle \color{#3D99F6}{\boxed{\text{Right angled triangle}}} .

In a right triangle, the highest measure is 90 degrees. That means that the two other angles are acute because the sum of the interior angles of a triangle is 180 degrees.

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