which of the following can be third side of a triangle whose two sides are 7cm and 9 cm respectively? please solve it. options are: 16cm,18cm,14cm,17cm.
Answers
The third side of the triangle is 14 cm.
Given:
Two sides of a triangle are 7cm and 9 cm
To find:
The third side of the triangle
Solution:
Let's know about the sides of triangles
Properties of sides of triangles:
The length of a triangle's two sides added together is longer than the third side.
The length of the third side of a triangle third side is shorter than the difference between its two sides.
Let a, b, and c be the sides of the triangle
By the given conditions
=> a + b > c
=> a - b < c
=> a + b > c > a - b
Here we have
Two sides of a triangle are 7cm and 9 cm
Let a = 9 cm, b = 7 cm, and c be the third side
By the condition a + b > c > a - b
=> 9 + 7 > c > 9 - 7
=> 16 > c > 2
Thus, the third side of the triangle will be lies between 16 to 2
Therefore,
The third side of the triangle is 14 cm.
#SPJ6