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Chapter 6: Q16. (page 221)

Two sides of a triangles have length 15 and 20. The length of the third side can be any number between __ and __?

Short Answer

Expert verified

The length of the third side can be any number between5<thirdside<35.

Step by step solution

01

Step 1. Apply the concept of the triangle.

The length of each side is greater than the difference between the remaining two sides and less than the sum of the lengths of the other two sides.

02

Step 2. Step description.

The lengths of two sides of a triangles are 15 and 20.

Difference between the remaining two sides =20−15=5

03

Step 3. Step description.

Sum of the lengths of the other two sides = 20+15=35.

As the length of each side is greater than the difference between the remaining two sides and less than the sum of the lengths of the other two sides such that20+15=35

Thus, the length of the third side can be any number between 5 and 35.

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