Question

can a triangle have sides with the given lengths?Explain a=5 yd, b= 9yd, c=10 ydchoose the correct statement below .

Answer 1

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. By applying this theorem, it means that

a + b > c

b + c > a

a + c > b

Therefore,

5 + 9 = 14, 14 > 10

9 + 10 = 19, 19 > 5

5 + 10 = 15, 15 > 9

We can see that the theorem worked with the given traingle. Therefore, the correct option is