How do you find the area of ​​a scalene triangle?

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How do you find the area of ​​a scalene triangle?

How do you find the area of ​​a scalene triangle?

To calculate the area of ​​a scalene triangle, you can divide by 2 the product of the measurement of one side by the measurement of the height relative to it, or use Heron's formula, which requires the measurements of all three sides of the triangle. scalene.

How to calculate the area of ​​the triangle without the height?

This formula tells us that the AREA of a TRIANGLE is obtained by extracting the SQUARE ROOT of the PRODUCT of its HALF-PERIMETER (P / 2) for the DIFFERENCES between the HALF-PERIMETER and EACH of its SIDES.

How do you find the area of ​​any triangle?

The area of ​​any triangle can be calculated with a simple trigonometric formula, using the product of the measures of two consecutive sides by the sine of the angle between them, all divided by 2.

How to calculate the area of ​​the triangle knowing the perimeter?

The formula for the perimeter is the general one: P = a + b + c. As well as that for the area: A = (base x height) / 2 = (axh) / 2.

How to calculate the area of ​​the triangle with the Pythagorean theorem?

The area of ​​the right triangle can be calculated by multiplying the measurements of the two legs and dividing the result by 2, or by dividing the product between the measurements of the hypotenuse and the height of the right triangle by 2.

How to calculate the height of a triangle with the perimeter?

In any case, the heights (or the straight lines that contain them) are always concurrent in a single point called orthocenter. The formula for calculating the height of a triangle is generally this: h = 2A / b (i.e. double the area, divided by the value of the base of the triangle).

How do you find the square meters of a triangle?

Multiply the length of the base of the triangle by its height. For example, if the base is 2 meters and the height is 3 meters, then 2 multiplied by 3 meters is 6 square meters.

How to solve problems with any triangles?

In any triangle of which the lengths of two sides and the amplitude of the included angle are known, the square of the length of the unknown side is equal to the sum of the squares of the known lengths decreased by their double product by the cosine of the included angle .

How do you calculate the base of an isosceles triangle knowing the perimeter?

The perimeter is divided into equal parts according to the fractional ratio that exists between the three sides of the triangle.

How to calculate the area of ​​the isosceles triangle having the perimeter?

Calculate the area of ​​an isosceles triangle that has a perimeter P = 18 cm and one of the oblique sides is equal to 5 cm. To calculate the area, we need the base. The problem gives us the measure of the perimeter for which, by making the inverse formula of the calculation of the perimeter of the isosceles triangle, we obtain the base. A = 8 × 3: 2 = 12cm².

How do you calculate the third side of a triangle?

It is very easy to calculate the third angle of a triangle when you know the measurements of the other two angles. To get the measurement of the third angle, all you have to do is subtract the value of the other angles from 180 ° .... Subtract the measurements from 180 °.
  1. 180° - (3x + 24°) = 0.
  2. 180° - 3x + 24° = 0.
  3. 156° - 3x = 0.

How to calculate the area of ​​a right triangle knowing the height?

That is, Area = base by height divided by two. Statement of the formula: the area of ​​the right triangle is calculated by performing the half product between the hypotenuse and the height relative to the hypotenuse.

What is the Pythagorean theorem for in life?

The Pythagorean theorem is a fundamental result of the geometry concerning the right triangle and which expresses a very important relationship between the sides, in particular it allows to obtain the measure of one of the three sides (hypotenuse or a cathetus) knowing the measures of the other two sides .

How do you calculate the height of a right triangle?

In the previous lesson we saw that it is possible to calculate the HEIGHT RELATIVE TO THE HYPOTENUSE of a right triangle knowing the size of its legs. The formula to be applied is the following: h = (c1 x c2) / i.

How is the height of a triangle constructed?

How to draw the heights of a triangle
  1. He takes the ruler and rests at the base of the triangle.
  2. The square is placed on the ruler and dragged until it touches the vertex opposite the base. ...
  3. After removing all the tools from the work surface, the height relative to the base appears.

How to calculate the square meters of a room?

1) we measure the width and length of the area whose square meters we want to calculate using a meter; 2) we express the results obtained in meters; 3) multiply the measurement of the width by that of the length; the result will be the number of square meters of the measured area.
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