Question

Which of the following sets of numbers could not represent the three sides of a triangle? [12,17,26] [12,20,29} {7,20,25} {7,16,24}

Answer 1

C

Step-by-step explanation: The third one down. There are two ways you know this.

1. If you had two boards that where 6 cm and 20 cm and tried to make a triangle with the third side = 27, the two little boards would lie flat on the 27 cm board.

2. The other three answers all make the smaller two sides larger than the third larger side.

Answer 2

The fourth one could not represent the three sides of a triangle

Explanation:

because the two sides of the triangle must be larger together than the third side and 7+16=23<24, so the fourth one could not represent the three sides of a triangle.