The perimeter of an isosceles triangle is -16 cm, and its base is -6 cm. Find the bisector of the triangle

The perimeter of an isosceles triangle is -16 cm, and its base is -6 cm. Find the bisector of the triangle drawn to the base

1. Vertices of the triangle A, B, C. AB = BC. AC = 6 cm. BK – bisector.

2. We calculate the length of the sides of a given triangle using the formula for calculating the perimeter:

AB + BC + AC = 16.

AB = BC = (16 – 6) / 2 = 5 cm.

3. The bisector BK in an isosceles triangle, according to its properties, also performs the functions of height and median.

4. Taking this into account, we calculate its length using the Pythagorean theorem:

BK = √AB² – AK².

AK = AC: 2 = 6: 2 = 3 cm.

BK = √5² – 3² = √25 – 9 = √16 = 4 cm.

Answer: the length of the bisector BK is 4 cm.