Jack wants to draw a triangle such that the length of its three sides are 5 , 8 , 1 6 cm
Can this triangle exist?
1) Yes
2) No
3) Maybe yes, maybe no
4) There is not enough information given
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For triangle that has the length of its three sides are A, B, and C. It must be fullfilled that: A + B > C A + C > B B + C > A It means that the sum of two sides must be longer than the others. You can imagine it.
No way, since it is violating the Triangle Inequality Theorem that - The sum of the lengths of any two sides of a triangle must be greater than the individual length of the third side.
Sum of any 2 sides of a triangle must be equal to or greater than the third side. Since 5 + 8 < 16, Triangle is not possible
Addition of any two sides should always exceed the remaining side. Applying this property of triangle to above example- 5+8 = 13 < 16 (remaining side)
First, we should know that for a triangle to exist, the sum of any 2 sides should be greater than the third side. Here, it is said that the lengths should be 5 , 8 , 1 6 cm.
We see that ( 1 6 + 5 = 2 1 > 8 ) , ( 1 6 + 8 = 2 4 > 5 ) but ( 5 + 8 = 1 3 < 1 6 ) .
So, this triangle cannot exist.
No se completan las medidas para cerrar el triangulo aunque lo pongas de 180 grados.
It can't be a triangle because when you try to draw it it's impossible for the 3 sides to come together.
it is necessary that the sum of two small sides should be equal to or greater then third side
sum of two sides is greather than third side
Sum of any two sides of the triangle is the limit of the other side of the triangle.
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By the Triangle Inequality, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, a 5 − 8 − 1 6 triangle cannot exist because 5 + 8 = 1 3 > 1 6 . The answer is 2 .