Question

Select the equation that most accurately depicts the word problem. Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inches.

Answer 1

Answer:

To solve this, you can set up an equation. Make the length of the shortest side x, so the 2 sides double the length will equal 2x. Since they all equal the perimeter of 36, do x + 2x + 2x =36. These values all represent the sides(2 longer, one short). Combine like terms to get 5x=36 then divide by 5 to find the value of x. x=7.2in meaning the shorter side is 7.2 inches while the longer sides are both 14.4 inches each since they are double in size.

Answer 2

$\large{\underline{\boxed{\sf Answer}}}$

The three sides of the triangle are 7.2 inches, 14.4 inches and 14.4 inches respectively.

Explanation :-

Given :

• Two sides of the triangle are equal in length and double the length of the shortest side.
• Perimeter of the triangle - 36 inches

Solution :-

Let the shortest side be x

And the two equal sides be 2x

We know that,

Perimeter = a + b + c

According to question,

$\sf\longrightarrow x + 2x + 2x = 36$

$\sf\longrightarrow 5x = 36$

$\sf\longrightarrow x = \dfrac{36}{5}$

$\sf\longrightarrow x = 7.2$

Hence,

The shortest side is = 7.2 inches

And the two equal sides => 2x = (7.2 × 2) = 14.4 inches