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In the diagram below, no two angles are congruent and ∠2 is the smallest angle. What is the range of possible lengths for the distance between Fort Peck Lake and Granite Peak?

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In the diagram below no two angles are congruent and 2 is the smallest angle What is the range of possible lengths for the distance between Fort Peck Lake and G class=

Respuesta :

Answer:

0 < x < 489

Step-by-step explanation:

It has to be larger than 0, and it has to be less than the other smaller side, so

0 < x < 489

We know the rule

  • Sum of any two sides in a triangle is greater than the thrid side

Given side

  • 565 and 489

Sum:-

[tex]\\ \sf\longmapsto 565+489=1055[/tex]

Difference

[tex]\\ \sf\longmapsto 565-489=76[/tex]

Hence

  • 76<x<1055