Question

Good morning guys ☺️☺️☺️
Please help me with this sum
I am Going to write my 10th state board geometry exam in 3 hrs
altitude on the hypotenuse of a right angled triangle divides it in two parts of lengths 4 cm and 9 cm .Find the length of the altitude​

Answer 1

let the triangle be ABC

and altitude drawn be BD



BD2=AD×DC...............geometric mean theorem
BD2=9×4
BD2 =36
BD=6