# The area of a triangle is 52 cm2 larger than the area of a similar triangle. The perimeter of the smaller triangle refers

The area of a triangle is 52 cm2 larger than the area of a similar triangle. The perimeter of the smaller triangle refers to the perimeter of the larger triangle as 6: 7. Determine the area of the smaller of these triangles.

We are given two triangles that are similar to each other.

It is also known that the area of one triangle is 52 cm ^ 2 larger than the area of the second triangle.

Let’s start by writing down the area of the second triangle:

S2 = S1 + 52,

Perimeters are 6: 7:

P1 / P2 = 6/7.

It is known that in such triangles the areas are referred to as squares of similar sides (in our case, the perimeters.

Writes the ratio:

S1 / S2 = P1 ^ 2 / P2 ^ 2,

S1 / (S1 + 52) = 36/49;

S1 = 144 cm ^ 2, S2 = 169 cm ^ 2. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.