Question

Which of the following possibilities will form a triangle?

aSide = 15 cm, side = 6 cm, side = 8 cm
b Side = 15 cm, side = 6 cm, side = 9 cm
cSide = 16 cm, side = 9 cm, side = 6 cm
dSide = 16 cm, side = 9 cm, side = 8 cm

Answer 1

D

Explanation:

Answer 2

9514 1404 393

Answer:

d. Side = 16 cm, side = 9 cm, side = 8 cm

Explanation:

In order for three lengths to form a triangle, the sum of the shorter two must exceed the longer.

a: 6+8 = 14, does not exceed 15

b: 6+9 = 15, does not exceed 15*

c: 6+9 = 15, does not exceed 16

d: 8+9 = 17, exceeds 16, so makes a triangle

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* One version of the triangle inequality requires only that the sum of the short sides be greater than or equal to the longest side. In such a triangle, the appearance is that of a line segment, and the area is zero. Many authors do not consider that to be a legitimate triangle.