Question

Today Question!!

Two cardboard pieces in the form of equilateral triangles having a side of 3 cm each are symmetrically glued to form a regular star. Find the area of the star.

Full Explantation!!!​

Answer 1

Given :

• Shape of the cardboard = Equilateral Triangle.
• Side of the Equilateral Triangle = 3cm.

To Find :

• Find the area of the star ?

Solution :

• As we know that,

➣ Area of Equilateral Triangle is given by √3/4 (side)²

According to the question :

• Finding area of the star :

➣ Area of star = √3/4 (side)²

➣ Area of star = √3/4 (3)²

➣ Area of star = √3/4 × 3 × 3

➣ Area of star = √3/4 × 9

➣ Area of star = 1.73/4 × 9

➣ Area of star = 1.73 × 9/4

➣ Area of star = 15.57/4

➣ Area of star = 3.89cm²

Hence,

• Area of the star is 3.89cm².