if three sides of a triangle are 1 sin theta cos theta then the greatest angle of the triangle is
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Answer:
Greatest angle of the triangle is 90°.
Step-by-step explanation:
Given:
Three sides of the Triangle are
To find: the greatest angle of the triangle.
To find greatest angle, first we find the type of triangle.
We know that if a , b and c are sides of triangle,
If a² < b² + c² then triangle is acute angled triangle.
If a² = b² + c² then triangle is right angled triangle.
If a² > b² + c² then triangle is obtuse angled triangle.
We know that maximum value of sin x and cos x is 1.
So, value of will be less than or equal to 1
Using above mentioned result we get,
a² = 1² = 1
As, a² = b² + c²
Triangle is right angled.
⇒ Greatest angle is right angle or 90°
Therefore, Greatest angle of the triangle is 90°.
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