Solution of Right Angled Triangle
The triangle which consists three sides and three angles with six elements is known as right angled triangle. If three elements are given, one of which must be the side and remaining others elements can be calculated which is known as solution of right angle triangle.
Summary
The triangle which consists three sides and three angles with six elements is known as right angled triangle. If three elements are given, one of which must be the side and remaining others elements can be calculated which is known as solution of right angle triangle.
Things to Remember
- The triangle which consists three sides and three angles with six elements is known as right angled triangle.
- In right angle triangle, one angle is 90o.
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Solution of Right Angled Triangle
The triangle which consists three sides and three angles with six elements is known as right angled triangle. In right angle triangle, one angle is 90o. If three elements are given, one of which must be the side and remaining others elements can be calculated which is known as a solution of right angle triangle.
Let,
In a given figure, right angled triangle ABC, right angled at B, ∠A, ∠B and ∠C represent the angles and a, b and c represent their opposite side. Then ΔABC, using a Pythagoras theorem,
AC2 = AB2 + BC2
i.e, b2= c2+ a2
and ∠A + ∠C = 90°
Lesson
Trigonometry
Subject
Optional Maths
Grade
Grade 8
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