# The area of the isosceles triangle ABC with the base of the AC is 4800 cm2.

The area of the isosceles triangle ABC with the base of the AC is 4800 cm2. Find the heights drawn to the sides of the triangle if AB = 100cm.

1. Vertices of triangle A, B, C. CE and AK – heights. AB = BC = 100 centimeters.

2. We calculate the length of the height CE, using the formula for calculating the area (S) of a given triangle:

S = AB x CE / 2 = 100 x CE / 2 = 4800 centimeters².

CE = 2S / 100 = 2 x 4800/100 = 96 centimeters.

3. We calculate the length of the height of the AK using another formula for calculating the area of a triangle:

S = BC x AK / 2.

AK = 2S / BC = 2 x 4800/100 = 96 centimeters.

Answer: AK = CE = 96 centimeters. 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.