there are three types of triangle and you can go to scalene triangle ,isosceles triangle and equilateral triangle
to get information about type of triangles but now we want to find out the type of any triangle with out drawing it
to do this we check the Lengths of the three sides :
1 - if the square of tallest side < the sum square of the length of the other side so it is acute triangle.
2 -if the square of tallest side = the sum square of the length of the other side so it is right triangle.
3-if the square of tallest side > the sum square of the length of the other side so it is obtuse triangle.
example : abc is triangle find the type of triangle as ab = 3 cm , bc = 4 cm , ca= 5 cm :
to solve this we search for the tallest side which is ca = 5 cm so ca^2 = 25 . ab^2 + bc^2 = 9 + 16 = 25 ,so ca^2 = ab^2 + bc^2 so it is right triangle
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