Question

Which of the following cannot be the sides of a triangle?

12 cm,13cm,10cm
8cm ,7cm ,7cm
4cm , 8cm ,3cm
20cm,15cm ,10cm​

Answer 1

Answer:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. ... In other words, as soon as you know that the sum of 2 sides is less than (or equal to) the measure of a third side, then you know that the sides do not make up a triangle.

The measurements 1, 2, 3 cannot be the sides of the triangle

Answer 2

Answer↪

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Step-by-step explanation:

1. (12+10)>13,So its a triangle measure
2. (7+7)>8So, its a triangle measure
3. (4+3)<8,So it cant be the measure of triangle side.
4. (10+15)>20,So its a triangle measure