Question

Two sides of a triangle are 10 cm and 14 cm. The perimeter of the triangle is 40 cm. What is the length of the third side of the triangle?

Answer 1

GivEn:

• Two sides of a triangle = 10 cm and 14 cm
• Perimeter of triangle = 40 cm

To find:

• Length of third sides of triangle?

Solution:

☯ Let length of third side be x cm.

We know that,

★ Perimeter of triangle = Sum of its all sides

Here,

• Two sides of triangle = 10 cm and 14 cm
• Perimeter of triangle = 40 cm

Therefore,

⇒10 + 14 + x = 40

⇒ 24 + x = 40

⇒ x = 40 - 24

⇒ x = 16 cm

∴ Hence, Length of third side of triangle is 16 cm.

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More to know:

• Area of triangle = ½ × base × height

• Heron's Formula = √s(s - a)(s - b)(s - c)

• Sum of all angles of a triangle is 180°.

Answer 2

Answer:

$\huge \tt \: given \:$

Sides of triangle = 10 and 14 cm

Perimeter = 40 cm

$\huge \tt \: to \: find$

Third side

$\huge \tt \: solution$

Let the third side be x

As we know that

Sum of all sides of triangle = Perimeter

$\sf \implies \: 10 + 14 + x = 40$

$\sf \implies \: 24 + x = 40$

$\sf \implies \: x = 40 - 24$

$\sf \implies \: x = 16$

Verification

$\sf \: 10 + 14 + x = 40$

$\sf \: 10 + 14 + 16 = 40$

$\sf \: 40 = 40$

LHS = RHS