Question

Which BEST describes the construction of a triangle if given the segment lengths of 10cm, 5 cm, and 4 cm? Unique Triangle, cannot be determined, triangle not possible, more than one triangle

Answer 1

Triangle not possible.

Explanation:

The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.

5 + 4 = 9

9 cm is not longer than 10 cm.

10 > 9

Therefore, the triangle is not possible..

Answer 2

Explanation:

a, b, c

a + b > c ; b + c > a ; a + c > b

5 + 4 < 10 ⇒ triangle not possible