The Pythagorean theorem is also known as the Pythagoras' theorem. The height of the triangle is 12cm.
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given a=10cm and b=13cm, therefore, the height of the triangle can be found using the Pythagoras theorem, therefore,
AB² = AD² + BD²
13² = AD² + 5²
169 = AD² + 25
AD = 12cm
Hence, the height of the triangle is 12cm.
Learn more about Pythagoras theorem:
https://brainly.com/question/12105522
#SPJ1
