PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoRight angle triangle: A triangle where one of its interior angles is a right angle \(90°\).
Area:
\(Area (A) = 1/2(b × h)\)
Thus, the height of the triangle \(h = Area × 2 / b\)
And, the base of triangle \(b = Area × 2 / h\)
Where \(h\) is denoted as height.
Where \(b\) is denoted as base.
The perimeter:
\(a² + b² = c²\)
\(a\), \(b\) are the lengths of the other two sides.
Where \(c\) is the length of the hypotenuse.
Sides: The two sides that are not the hypotenuse makes the right angle.
Hypotenuse: The side opposite the right angle is called the hypotenuse. It will always be the longest side of a right triangle.
Properties:
- If the two sides that include the right angle are equal in length (\(AB\) and \(BC\)), then it said to be an isosceles triangle.
- The hypotenuse (the side opposite the right angle) is always longer than either of the other two sides so it can never be an equilateral triangle.
Isosceles triangle: A triangle which has two of its sides equal in length.
Area:
\(Area (A) = 1/2(b × h)\)
Thus, the height of the triangle \(h = Area × 2 / b\)
And, the base of the triangle \(b = Area × 2 / h\)
Where \(h\) is denoted as height.
Where \(b\) is denoted as base.
Altitude \(h = √( a² - b²) / 4\)
The perimeter:
\(P = 2a + b\)
Where \(a\) is the lengths of the two equal sides.
Where \(b\) is the lengths of the other sides.
Properties:
- The 'base' of the triangle is referred to the unequal side of an isosceles triangle.
- The base angles of an isosceles triangle are always equal. (\(∠ABC\) and \(∠ACB\) are always the same)
- The altitude is a perpendicular distance from the base to the topmost vertex.
Important!
- When the \(3rd\) angle is a right angle, it is called a "right isosceles triangle".
- If all three sides are the same length, it is called an equilateral triangle.
- All the equilateral triangles will have all the properties of an isosceles triangle.
Equilateral triangle: A triangle which has all three of its sides equal in length.
Area:
\( Area (A) = √3/4 s²\).
Where \(s²\) denotes sides of the triangle.
The perimeter:
\(Perimeter (P) = a + b + c\) or \(P = s + s + s\).
\(a\), \(b\), \(c\) are the lengths of the three equal sides.
or
\(s\) is the lengths of the three equal sides.
Properties:
- All three angles of an equilateral triangle are always \(60°\). Hence, \(∠ABC\), \(∠CAB\) and \(∠ACB\) are always the same. Since the angles are the same and the internal angles of any triangle always add to \(180°\), each is \(60°\).
- An equilateral triangle is one in which all three sides are congruent (same length). Because it also has the property that all three interior angles are equal.
Register for free to see more content