Find the sides of an even triangle if its perimeter is 35 dm, and the base is 2 times smaller for the lateral side.

univerkov | April 28, 2021 | education

Since triangle ABC is isosceles, its sides are equal.

AB = BC.

Let the length of the base AC = X dm, then, by condition, the length of the side is: AB = BC = 2 * X cm.

Then the perimeter of the triangle is:

P = AB + BC + AC = 2 * X + 2 * X + X = 35 dm.

5 * X = 37.

X = AC = 35/5 = 7 dm.

Then AB = BC = 2 * 7 = 14 dm.

Answer: The sides of the triangle are 7 dm, 14 dm, 14 dm.

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.