Chapter 3: Q8. (page 161)

Find the value of x such that the perimeter of the triangle is $15$ units.

Short Answer

Expert verified

The value of x is $x = 3$ .

Step by step solution

Step 1.Apply the concept of perimeter of triangle

In this, use the concept of perimeter of triangle such that the sum of three sides of the triangle shows the perimeter.

Step 2.Finding the equation to solve x

Since,

The three sides of the triangles are $x + 2, 5 & 3 x - 4$ .

Now, the perimeter of the triangle is, $P e r i m e t e r = s u m o f a l l s i d e s$ .

\begin{array}{l} P e r i m e t e r = s u m o f a l l s i d e s \\ P e r i m e t e r = x + 2 + 5 + 3 x - 4 \\ 15 = 4 x + 3 \end{array}

Step 3.solving for x.

Since, the expression is $15 = 4 x + 3$ .

$\begin{array}{l} 15 = 4 x + 3 \\ 15 - 3 = 4 x + 3 - 3 \\ 12 = 4 x \\ 4 x = 12 \\ x = \frac{12}{4} \\ x = 3 \end{array}$

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Find the value of x such that the perimeter of the triangle is $15$ units.

Short Answer

Step by step solution

Step 1.Apply the concept of perimeter of triangle

Step 2.Finding the equation to solve x

Step 3.solving for x.

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Find the value of x such that the perimeter of the triangle is 15units.

Short Answer

Step by step solution

Step 1.Apply the concept of perimeter of triangle

Step 2.Finding the equation to solve x

Step 3.solving for x.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Geometry

Pure Maths

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the value of x such that the perimeter of the triangle is $15$ units.