JC10idn
Answered

IDNStudy.com, ang iyong mapagkukunan para sa mga sagot ng eksperto. Hanapin ang impormasyon na kailangan mo nang mabilis at madali sa pamamagitan ng aming komprehensibo at eksaktong platform ng tanong at sagot.

How to know if the lengths may form a triangle? For example. I have 3 cm, 10 cm, 15 cm sticks, will it form a triangle? How to guess/predict just with the
info's about the lengths? not by trying it in actual.

Sagot :

Since triangle or trigon has three sides, let:

a = side 1
b = side 2
c = side 3

If a and b are the two sides, then, to form a triangle the third side must satisfy the condition:
(a - b ) < c < a + b

Side c must be greater than the difference of sides a and b, but less than the sum of a  and b.

Given:
Option 1:
Side a = 3 cm
Side b = 10 cm
Side c = 15 cm

(10-3) < 15 < (3+ 10)
        7 < 15 < 13       ⇒    False
                                  ⇒   The third side must be
                                        {8, 9, 10, 11, 12}, 
                                         not {15}

Option 2:
Side a = 10 cm
Side b = 15 cm
Side c = 3 cm

(15-10) < 3 < (10 + 15)
      5     < 3 <   25   ⇒   False
                               ⇒   The third side must be
                                      {6, 7, 8, 9, 10, ..., 23, 24, 25},
                                      not {3}

Option 3:
Side a = 15 cm
Side b = 3 cm
Side c = 10 cm

(15-3) < 10 < (15 + 3)
     12   < 10 < 18       ⇒   False
                                  ⇒   The third side must be
                                         {13, 14, 15, 16, 17}
                                         not {10}





Salamat sa iyong presensya. Patuloy na magbahagi ng iyong mga ideya at kasagutan. Sama-sama tayong magpapaunlad ng isang komunidad ng karunungan at pagkatuto. Bawat tanong ay may sagot sa IDNStudy.com. Salamat sa pagpili sa amin at sa muling pagkikita.