Thursday 12 July 2012

right triangles

In the previous post we have discussed about adjacent angles and In today's session we are going to discuss about right triangles. A right triangle in the mathematics can be defined as that triangle in which we have 1 angle equal to the right angle which means that 1 angle is equal to the 90 degree. The right triangles are also sometimes called as the right angled triangles. It should be known that the relationship among the different sides and the angles of any right angled triangle forms the basis for the trigonometry.

Now let us talk about the terminology in the right triangles. In any right angled triangle the side which is opposite to the right angle or we can say the 90 degree angle is known as the hypotenuse whereas the sides which are adjacent to the 90 degree angle are known as the legs of the right triangle. (know more about right triangles, here)
Also when the lengths of the 3 sides of the right angled triangle are the integers then that right triangle is known as the Pythagorean triangle whereas the lengths of the 3 sides are collectively called as the Pythagorean triple.
We all know that in any type of the triangle the area is calculated by multiplying 1 / 2 with the length of the base of that triangle and then multiplying that result with the height corresponding to that base of the triangle. But the case of a right angled triangle is very easy. In any right angled triangle, when 1 leg is considered as the base of the triangle then the other leg gives the height of the triangle. Thus the area in any right angled triangle can be calculated by just multiplying 1 / 2 with the product of the lengths of the 2 legs of the triangle.
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