Calculate the area of a triangle if it is 9 times less than the area of a square with a side length of 12 cm.

A square is a quadrangle in which all angles and sides are equal.

The area of ​​a square is equal to the product of its two adjacent sides. Therefore, the area of ​​a square can be calculated using the formula:

S square = a * a, where a is the side of the square.

To find the area of ​​a triangle, you need to know the area of ​​a square and how many times the area of ​​a triangle is less than the area of ​​a square. We know that the area of ​​a triangle is 9 times less than the area of ​​a square. And the area of ​​the square is unknown to us. To find the area of ​​a square, you need to know the side of the square. The side of the square is known – 12 centimeters. Knowing the area of ​​a square, we can find the area of ​​a triangle using the formula:

S treug. = S square : nine

The solution of the problem
Find the area of ​​the square:

S square = a * a, where a is the side of the square.
a = 12 cm;
S square = 12 * 12;
S square = 144 sq. cm .
Let’s find the area of ​​the triangle:

S treug. = S square : nine ;
S square = 144 sq. cm ;
S treug. = 144: 9;
S treug. = 16 sq. cm .

Answer: 16 square centimeters is the area of ​​a triangle.