Question
Question: If in a triangle ABC, sin<sup>2</sup>A + sin<sup>2</sup>B + sin<sup>2</sup>C = 2, then the triangle...
If in a triangle ABC, sin2A + sin2B + sin2C = 2, then the
triangle is always
A
Isosceles triangle
B
Right angled
C
Acute angled
D
Obtuse angled
Answer
Right angled
Explanation
Solution
sin2 A + sin2 B + sin2C = 2
ā 2 cos A cos B cos C = 0
ā either A = 900 or B = 900 or C = 900