katiebugperez katiebugperez
  • 13-01-2020
  • Mathematics
contestada

4cm, 17cm. given two sides of triangle, find a range of possible lengths for the third side

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 25-01-2020

Answer:

13 cm < x < 21 cm

Step-by-step explanation:

The triangle inequality theorem tells us that if we are given two sides' length of a triangle, a and b (where a < b), and the third side is "x", we can say:

b - a < x < a + b

So, the third side's length would be between the difference and sum of the other two sides given.

Let the third side be "x"

and b = 17, and a = 4

So, we can write:

[tex]b - a < x < a + b\\17-4<x<4+17\\13<x<21[/tex]

The third side (x) length will be between 13 centimeters and 21 centimeters

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