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

9514 1404 393

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

Step-by-step 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

* 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.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.