Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Tessellation wikipedia , lookup
Multilateration wikipedia , lookup
Golden ratio wikipedia , lookup
Apollonian network wikipedia , lookup
History of trigonometry wikipedia , lookup
Euler angles wikipedia , lookup
Rational trigonometry wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
Euclidean geometry wikipedia , lookup
Incircle and excircles of a triangle wikipedia , lookup
Geometry 7th Grade TRIANGLES Triangles • • • • • • • A polygon with three sides Is the simplest of the polygons Formed by three straight lines The interior angles add up to 180 degrees Exterior angles add up to 360 degrees. It is a closed figure Because all angles add to 180 degrees only one angle can be 90 or more. • The bisectors of the three interior angles meet in the center of the triangle. Triangles Categorized by Sides Equilateral Triangle The equilateral triangles has all sides equal and all angles equal. All angles are 60 degrees Isosceles Triangle 1. Isosceles triangle has two sides that are equal the unequal side is referred to as the base of the triangle. 2. The base angles are always equal to each other. Scalene Triangle • Is a triangle where no sides are the same. • The angles inside a scalene triangle are all different degrees as well • The shortest side is opposite the shortest angle • The longest side is opposite the longest angle The Right Triangle • In a right triangle there is one and only one angle that equals 90 degrees • The side opposite the right angle will always be the longest side. • The longest side is called the hypotenuse • A right triangle can be an isosceles triangle • A right triangle can NEVER be an equilateral triangle. Triangles Categorized by Angles The Obtuse Triangle • This triangle has one angle greater than 90 degrees • The other two angles are less than 90 degrees. The Acute Triangle • Has all angles less than 90 degrees. • All three angles are acute angles. Equiangular Triangle • All interior angles are equal • That means if it is equiangular it is equilateral Identify the parts of a triangle • The base of a triangle is where you find the right angle identified. • We use the base of a triangle so we can find the altitude or height of the triangle that is why we need the right angle. PARTS OF THE TRIANGLE THE LONGEST SIDE IS CALLED THE HYPOTENUSE vertex A L T I T U D E H E I G H T 90 degrees vertex Base vertex AREA OF A TRIANGLE • TO FIND THE AREA OF A TRIANGLE • MULTIPLE ONE HALF times THE BASE TIMES THE HEIGHT (ALTITUDE) • 1/2bh (memorize this!!!)