Triangle is a flat geometric figure with one angle equal to 90 °. At the same time, in geometry, it is very often necessary to calculate the area of \u200b\u200bsuch a figure. How to do it, we will tell further.
The simplest formula for determining the area of \u200b\u200bthe rectangular triangle
The initial data, where: A and B are the side of the triangle, emerging from the direct angle.
That is, the area is equal to half of the work of both sides, which come out of a straight angle. Of course, there is a Geron formula used to calculate the area of \u200b\u200ban ordinary triangle, but to determine the value you need to know the length of three sides. Accordingly, you will have to calculate the hypotenuse, and this is too much time.
Find the area of \u200b\u200ba rectangular triangle through the Geron formula
This is a well-known and source formula, but for this you will have to calculate the hypotenuse for two categories using the Pythagore's theorem.
In this formula: A, B, C - the sides of the triangle, and P is a half-meter.
Find the area of \u200b\u200bthe rectangular triangle on hypotenuse and corner
If none of the cathets are known in your task, then you can not use the easiest way. To determine the magnitude, you need to calculate the length of cathets. It is just on hypotenuse and cosine of the adjacent angle.
b \u003d C × COS (α)
Having learned the length of one of the cathets, on the Pythagora theorem, you can calculate the second side of the straight corner.
b. 2\u003d C. 2-a. 2
In this formula C and A - hypotenuse and catat, respectively. Now you can calculate the area on the first formula. Similarly, one of the cathets can be calculated, having a second and angle. In this case, one of the sides will be equal to the product of the category of angle tangent. There are other ways to calculate the area, but knowing the main theorems and rules, you can easily find the desired value.
If you do not have any side of the triangle, but there is only a median and one of the corners, then you can calculate the length of the parties. To do this, use the median properties to share a rectangular triangle for two. Accordingly, it can act as hypotenuse if it comes out of an acute angle. Use the Pythagores theorem and determine the length of the side of the triangle leaving the direct angle.
As you can see, knowing the basic formulas and the Pythagora theorem, you can calculate the area of \u200b\u200bthe rectangular triangle, having only one of the corners and the length of one of the sides.
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