Question

a) What is the perimeter of an equilateral triangle with sides 15 cm each?

Answer 1

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The perimeter of the Equilateral Triangle with side 15cm = 45cm.

Step-by-step explanation:

Given

• The side of the Equilateral Triangle = 15cm

To Find

• The Perimeter of the Equilateral Triangle.

Solution

We know that Equilateral Triangle is a Triangle in Which all the sides and all the Angles are Equal.

So, it is given that one side = 15cm .. So, the other sides must be 15cm, 15cm

So, the side measures are 15cm,15cm,15cm

We also Know that to find the perimeter of the Triangle =

• Side + Side + Side

I.e 15 + 15 + 15 = 15 × 3 = 45cm.

Perimeter = 45cm

More Information

To Find the Area of a Triangle we use the formula

• ½ base × height [ ½bh]

Answer 2

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Explanation:

Given:

Sides of an equilateral triangle is 15cm each

To find :

Perimeter of an equilateral triangle.?

$\bold{\boxed{Perimeter \: of \: an \: Equilateral \: Triangle =3 S}}$

$\bold{= >3 S =3×15 = 45cm}$

Concept:-

• An equilateral triangle have all sides equal so we take all sides as 15 cm and multiply 3 times it is the perimeter.

Properties of an equilateral triangle:-

• An equilateral triangle having all sides equal and have an equal angle of 60° each
• An equilateral triangle having exterior angle equals to 120°

$\bold{\boxed{Area \: of \: an \: Equilateral \: Triangle = \frac{ \sqrt{3} }{4} {a}^{2}}}$