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- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.12%3A_TrianglesTwo triangles are similar if the three angles of one triangle have the same measure as the three angles of the second triangle. The Pythagorean theorem says that the sum of the squares of the lengths ...Two triangles are similar if the three angles of one triangle have the same measure as the three angles of the second triangle. The Pythagorean theorem says that the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. If you know the lengths of all three sides of a triangle, you can use the Pythagorean theorem to verify whether the triangle is a right triangle or not.
- https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_(CID%3A_PHYS_14)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.12%3A_TrianglesTwo triangles are similar if the three angles of one triangle have the same measure as the three angles of the second triangle. The Pythagorean theorem says that the sum of the squares of the lengths ...Two triangles are similar if the three angles of one triangle have the same measure as the three angles of the second triangle. The Pythagorean theorem says that the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. If you know the lengths of all three sides of a triangle, you can use the Pythagorean theorem to verify whether the triangle is a right triangle or not.
- https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_(CID%3A_PHYS_14)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.06%3A_Perimeter_and_CircumferenceA polygon is a closed geometric figure with straight sides. Common polygons include triangles, squares, rectangles, parallelograms, trapezoids, pentagons, hexagons, octagons… The perimeter of a polygo...A polygon is a closed geometric figure with straight sides. Common polygons include triangles, squares, rectangles, parallelograms, trapezoids, pentagons, hexagons, octagons… The perimeter of a polygon is the distance around the outside. In general, to find the perimeter of a polygon, you can add up the lengths of all of its sides.
- https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_Volume_1/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.12%3A_TrianglesThis page covers triangle classification by side lengths (equilateral, isosceles, scalene) and angles (obtuse, right, acute), introduces similar triangles, and explains the Pythagorean theorem for rig...This page covers triangle classification by side lengths (equilateral, isosceles, scalene) and angles (obtuse, right, acute), introduces similar triangles, and explains the Pythagorean theorem for right triangles. It includes exercises for classifying triangles, determining unknown side lengths, and verifying right triangles through the theorem, along with a brief mention of calculating square roots.
- https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_Volume_1/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.06%3A_Perimeter_and_CircumferenceA polygon is a closed geometric figure with straight sides. Common polygons include triangles, squares, rectangles, parallelograms, trapezoids, pentagons, hexagons, octagons… The perimeter of a polygo...A polygon is a closed geometric figure with straight sides. Common polygons include triangles, squares, rectangles, parallelograms, trapezoids, pentagons, hexagons, octagons… The perimeter of a polygon is the distance around the outside. In general, to find the perimeter of a polygon, you can add up the lengths of all of its sides.
- https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Celestial_Mechanics_(Tatum)/13%3A_Calculation_of_Orbital_Elements/13.02%3A_TrianglesThe area of the triangle formed by joining the tips of \(\textbf{r}_2\) and \(\textbf{r}_3\) is \(A_1\). The area of the triangle formed by joining the tips of \(\textbf{r}_1\) and \(\textbf{r}_2\) is...The area of the triangle formed by joining the tips of \(\textbf{r}_2\) and \(\textbf{r}_3\) is \(A_1\). The area of the triangle formed by joining the tips of \(\textbf{r}_1\) and \(\textbf{r}_2\) is \(A_3\). The two vector products are parallel vectors (they are each perpendicular to the plane of the paper), of magnitudes \(2A_3\) and \(2A_2\) respectively. (\(2A_3\) is the area of the parallelogram of which the vectors \(\textbf{r}_1\) and \(\textbf{r}_2\) form two sides.)
