To check whether it is possible to have a triangle with side lengths 4cm, 13cm, and 14cm, we use a special rule.
The rule is: If you take any two sides of a triangle and add their lengths, the sum of the lengths must be greater than the third side.
Test this triangle. 4+13=17, which is bigger than 14. 14+4=18, which is bigger than 13. 13+14=27, which is greater than 4.
The rule works for all side combinations, so it is possible to have a triangle like this.
So the answer is: yes, you can have a triangle of side lengths 4cm, 13cm, 14cm. (Note that the lengths do not have to be in centimeters, for example they can be 4m, 13m, and 14m)
Chat with our AI personalities
A triangle with sides measuring ; 4 feet , 6 feet and 9 feet is a right triangle. A triangle is a right triangle as long as it has one 90 degree point.
no
area of triangle 1 would be 16 and the other triangle is 9 as the ratio of areas of triangles is the square of their similar sides
For a triangle to exist, the sum of the two shorter sides must be longer than the longest side. If 15 is the longest side, then the other, missing, shorter side must be greater than 15 - 4 = 11. If the third, missing, side is the longest side, then it must be less than 15 + 4 = 19 So the third side is any length greater than 11 and less than 19. Examples include 12, 13, 15, 11.5, 18.5.
Area of a triangle is 1/2*Base*Height. I believe you can take it from here.