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Chapter 3: Q. 392 (page 407)

The playground at a shopping mall is a triangle with perimeter 48feet. The lengths of two sides are 19feet and 14feet. How long is the third side?

Short Answer

Expert verified

The length of the third side is15feet.

Step by step solution

01

Step 1. Given Information 

The perimeter of the playground at a shopping mall is48feet. The lengths of the two sides are19and14feet. We have to find the length of the third side.

02

Step 2. Translate into an equation 

Let xbe the length of the third side.

The perimeter of a triangle is the sum of all sides.

Thus, the equation is 19+14+x=48

03

Step 3. Solve the equation 

By proceeding with the equation we get,

19+14+x=4833+x=48x=15

Thus, the length of the third side is15feet.

04

Step 4. Check the answer 

To check the answer substitute the third side to the perimeter of a traingle.

Thus,

19+14+15=4848=48

It is true.

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