Area of Non-right Triangles practice connections

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1. Finding the area of a non-right triangle requires using the formula: Area = 1/2 * base * height. The base and height can be any two sides of the triangle, not just the perpendicular sides.

2. To find the height of a non-right triangle, you can use trigonometry or the Pythagorean theorem. For example, if you know the lengths of two sides and the included angle, you can use the sine or cosine function to calculate the height.

3. Heron's formula is another method for finding the area of a non-right triangle when you know the lengths of all three sides. The formula is: Area = √[s(s-a)(s-b)(s-c)], where s is the semi-perimeter of the triangle (s = (a+b+c)/2) and a, b, and c are the lengths of the sides.

4. You can also divide a non-right triangle into smaller shapes (such as right triangles, parallelograms, or trapezoids) to calculate the area more easily. Add the areas of the smaller shapes to find the total area of the triangle.

5. Practice calculating the area of non-right triangles by solving various examples and problems. You can use online resources, textbooks, or worksheets to reinforce your understanding of the concept.

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