Question

You are asked to draw a triangle wherein the lengths of the two sides are specified. What are the possible lengths for the third side of the triangle that you will draw if two sides should have lengths 11 and 17, respectively? How many possible integer lengths has the third side?​

Answer 1

explanation: the sum of the two sides of the triangle is greather than the third

ans:

1. 16,20

2. marie

Answer 2

Given : Two sides of  triangle  11 and 17  

To Find :  possible integral lengths for the third side of the triangle

Solution:

Two sides of  triangle  11 and 17  

Let say third side is  X

Sum of any two sides of a triangle is greater than third side

X + 11  >  17

X + 17 >  11    ( this is always true as 17 > 11)  

11 + 17 >  X

X + 11  >  17  => X >  6

11 + 17 >  X  =>    28 > X

Combining both

=> 6  < X  < 28

X is integer

Hence X can have values from 7 , 8  _______ , 26 , 27

There are 21  possible  integral length of 3rd side

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