Question

is this triangle possible if a is 90

Answer 1

$\huge{\red{Answer: \:Yes}}$

Yes, a triangle is possible if its one angle (∠a) is of 90° because

∠b + ∠c = ∠a = 90°

∠a + (∠b + ∠c) = 180°

If one angle of triangle is of 90° then, it would be a Right-Angled Triangle.

∠90 + ∠b + ∠c = 180°

Extra Information -

• Sum of all the angles of a triangle is always 180°

• Sum of two angles of a triangle is always greater than or equal to the third angle.

Types of Triangle -

By side -

• Equilateral Triangle - All sides equal
• Isosceles Triangle - Two sides equal
• Scalene Triangle - No sides equal

By angle -

• Acute Triangle - one angle of less than 90°
• Obtuse Triangle - one angle of more than 90°
• Right-Angled Triangle - One angle of 90°