Chapter 3: Q. 392 (page 407)

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

Short Answer

Expert verified

The length of the third side is $15$ feet.

Step by step solution

Step 1. Given Information

The perimeter of the playground at a shopping mall is $48$ feet. The lengths of the two sides are $19 and 14$ feet. We have to find the length of the third side.

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 $19 + 14 + x = 48$

Step 3. Solve the equation

By proceeding with the equation we get,

$19 + 14 + x = 48 33 + x = 48 x = 15$

Thus, the length of the third side is $15$ feet.

Step 4. Check the answer

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

Thus,

$19 + 14 + 15 = 48 48 = 48$

It is true.

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Translate into an equation

Step 3. Solve the equation

Step 4. Check the answer

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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

Step by step solution

Step 1. Given Information

Step 2. Translate into an equation

Step 3. Solve the equation

Step 4. Check the answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Probability and Statistics

Geometry

Pure Maths

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

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