Question

two sides of a triangle are 7 and 10 units. Which of the following length can be the length of the third side?

Answer 1

Answer:

Step-by-step explanation:

Correct option is C)

In a triangle the sum of any two sides is always greater than the third side.

Consider each option :

A) 7+10≯19

B) 7+10≯17

C) 7+10>13,13+10>7,7+13>10

It satisfies the condition.

D) 7+3≯10

Hence : Option C is the correct answer.

Answer 2

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We know that the sum of two sides of a triangle is greater than the third side.

Also, the difference of two sides of a triangle is smaller than the third side.

∴ 10 units + 7 units = 17 units

∴ 10 units - 7 units = 3 units

From the above calculations we can conclude that the third side of the triangle is less than 17 units and more than 3 units.

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