Maths Triangle

 Triangle Facts 

A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°. The sum of the length of two sides of a triangle is always greater than the length of the third side. 2D shape properties – Different Types of Triangles.

1. Different type of triangles 

Right triangle - A right triangle is a triangle in which one of the angles is 90 degrees.

Obtuse Triangle - Obtuse triangles are those in which one of the three interior angles has a measure greater than 90 degrees. 

Acute triangle - An acute triangle is a triangle whose all the three interior angles are acute. In other words, if all interior angles are less than 90 degrees

Equilateral triangle - In an equilateral triangle, all the lengths of the sides are equal. In such a case, each of the interior angles will have a measure of 60 degrees. 

Isosceles triangle - In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal to each other. 

Scalene triangle -  A  scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. 

Maths four side shapes

 Four Side Shapes 

All four side angles are 90 degrees 

Parallelogram 

- A parallelogram is a quadrilateral with opposite parallel. 

Trapezoid

-  A trapezoid is a quadrilateral with one pair of opposite sides parallel. it can have right angle.

Kite 

- A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.  

Rectangle 

- A rectangle is a four sided-polygon, having all the internal angles equal to 10 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from  a square.  

 

Rhombus 

Parallelogram with 4 equal sides all of the whose sides have the same length 

 

 

Maths Facts

 How to calculate the area of a non right angle triangle

Math facts about calculating the area of a non rat triangle 

To find the area of a non-right triangle. A right triangle is made up of three sides: the base, the height, and the hypotenuse. To get the area of a triangle you must multiply the two adjacent side lengths of the 90° angle, which are the base and the height of the triangle, and divide this quantity by half. This is the formula for the area of a right triangle: Formula for the area of a right triangle. A=1/2bh(Area=½ base x height)

A worked example of calculating the area of a non rat triangle 

use variables to represent the measures of the unknown sides and angles. Apply the Law of Cosines to find the length of the unknown side or angle. Apply the Law of Sines or Cosines to find the measure of a second angle. Compute the measure of the remaining angle.

Everyday uses of finding the area of a non rat triangle 

Find the area of triangle 

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.