Question

The perimeter of a triangle is 56 cm. Two sides of the triangle are 18 cm
14 cm. Find the length of the third side.
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Answer 1

Answer:

• Length of third side = 24 cm.

Step-by-step explanation:

Given:

• Perimeter of a triangle = 56 cm
• Two sides of triangle = 18 cm and 14 cm.

To Find:

• Length of third side.

Formula used:

• Perimeter of triangle = Side A + Side B + Side C

Now, put the values in the formula,

⇒ Perimeter of triangle = Side A + Side B + Side C

⇒ 56 = 18 + 14 + side c

⇒ 56 = 32 + side c

⇒ side c = 56 - 32

⇒ side c = 24

Hence, length of third side = 24 cm.

❀ Extra Info:

• Area of rectangle = l × B
• Perimeter of rectangle = 2(l + b)
• Area of square = side × side
• Perimeter of square = 4 × side
• Area of triangle = 1/2 × b × h
• Perimeter of triangle = Side A + Side B + Side C

Answer 2

$\frak{Given}\begin{cases}\sf{\:\: Perimeter_{\triangle} = 56 \ cm}\\\sf{\:\:First \ side = 18 \ cm}\\\sf{\:\: Second \ side = 14 \ cm}\end{cases}$

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Need to find: The length of the third side.

⠀⠀

☯ Let the third side of the triangle be x cm.

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀

⠀⠀⠀⠀

$\dag\;{\underline{\frak{As \ We \ know \ that,}}}$⠀

⠀⠀⠀⠀

$\star\:\boxed{\sf{\pink{Perimeter_{\triangle} = Sum \ of \ it's \ all \ side}}}$

⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀

$:\implies\sf 14 + 18 + x = 56 \\\\\\:\implies\sf 32 + x = 56 \\\\\\:\implies\sf x = 56 - 32\\\\\\:\implies{\underline{\boxed{\frak{\pink{x = 24 \ cm}}}}}\:\bigstar$

⠀⠀⠀⠀

$\therefore\:{\underline{\sf{Hence, \ length \ of \ the \ third \ side \ of \: \triangle \ is \ \bf{24 \ cm}.}}}$⠀