The lateral side of an isosceles triangle is 5cm, and the height drawn to the base is 4cm. What is the base of the triangle?

1) By the theorem, it is known that the height of an isosceles triangle is the median and byss. Therefore, it divides the base into two equal segments. Let’s find these segments:
Let’s use the Pythagorean theorem about a right-angled triangle (since the height is a perpendicular, that is, it forms a right angle) – the square of the hypotenuse = the sum of the squares of the legs. To find one of the legs, you need to root out the difference between the hypotenuse squared and the other leg squared.
Half base = root of the difference in Side squared and height squared.
Half base = root of 25 – 16 = root of 9 = 3 (cm)
2) Base = half * 2
Base = 3 * 2 = 6 (cm)
Answer: 6 cm.