How do you derive the formula for a triangle?
Probably, the question is about a formula for an area of a triangle.
If not, ask more specifically.
Below is the proof of a formula
where
Consider triangle
An altitude
As seen from the picture, the area of each one of these right triangles is doubled, so the area of a rectangle with the same base
Since the area of a rectangle is
The drawing will be different in case of a triangle with an obtuse angle at the base. In this case an analogous transformation into a rectangle will represent our triangle not as a sum of two right triangles, but as their difference with the same final formula.
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The formula for the area of a triangle can be derived using basic principles of geometry. One common method is to use the formula for the area of a parallelogram and then halve it, since a triangle is half of a parallelogram.

Start with a parallelogram with base ( b ) and height ( h ). The area of a parallelogram is given by ( A = bh ).

Draw a diagonal line from one vertex of the parallelogram to the opposite vertex, creating two congruent triangles.

The area of one of these triangles is half the area of the parallelogram, so the area of one triangle is ( \frac{1}{2}bh ).

Since any triangle can be divided into two congruent triangles, the area of any triangle is also given by ( \frac{1}{2}bh ), where ( b ) is the base and ( h ) is the corresponding height (perpendicular distance from the base to the opposite vertex).
Therefore, the formula for the area of a triangle is ( \frac{1}{2} \times \text{base} \times \text{height} ).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 A rectangle is inscribed in an equilateral triangle so that one side of the rectangle lies on the base of the triangle. How do I find the maximum area of the rectangle when the triangle has side length of 10?
 How do you find the perimeter of a parallelogram?
 A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #3 #, its base has sides of length #2 #, and its base has a corner with an angle of # pi/4 #. What is the pyramid's surface area?
 The base of a triangular pyramid is a triangle with corners at #(6 ,2 )#, #(4 ,5 )#, and #(8 ,7 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?
 I can’t solve this help please?!
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