Question

Two sides of a triangle measure 17 inches and 13 inches. The perimeter of the triangle is 45 inches. What is the length in feet of the third side of the triangle?​

Answer 1

Side 3 = 1.25 feet

Explanation:

Given :

• Two side measures of a triangle = 17 inches and 13 inches
• Perimeter = 45 inches

To Find :

• Length of 3rd side

Solving :

• Side 1 + Side 2 + Side 3 = Perimeter
• 13 + 17 + Side 3 = 45
• Side 3 = 45 - 30
• Side 3 = 15 inches
• Side 3 = 1.25 feet

Answer 2

Given:-

`\rightarrow` First side(a) of triangle = 17in.

`\rightarrow` Second side(b) of triangle = 13in.

`\rightarrow` Perimeter of triangle = 45in.

To Find:-

`\rightarrow`Third side of the triangle.

Formula Used:-

`\rightarrow` Perimeter of triangle = sum of all side(a+b+c).

Solution:-

`\rightarrow` Perimeter of triangle = a + b + c.(putting the value of perimeter, side a and b from the above given)

`\rightarrow`
`\sf{45\: = \: 17+13+c}`

`\rightarrow`
`\sf{45\: = \: 30+c}`

`\rightarrow`
`\sf{45-30\: = \:c}`

`\rightarrow`
`\sf{15in.\: = \: c}`

Therefore, third side = 15in.

`\rightarrow`To convert this value into feet we need to divide it by 12, because there are 12 inches in a foot.

`\rightarrow`
`\sf{(15)/(12)}`

`\rightarrow`
`\sf{1.25feet}`

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Hope it helps you:)