Question

In a right triangle having sides equal to 3cm 4cm and 5cm the length of the alitude drawn on the hypotenuse will be​

Answer 1

Step-by-step explanation:

let the altitude divide hypotenuse into x and 5-x

let the x part be the side of triangle with hypotenuse =3

let the altitude be a

3^2=a^2+x^2

9=a^2+x^2

4^2=a^2+(5-x)^2

16=a^2+x^2+25-10x

16=9+25-10x (since x^2+a^2=9)

10x=18

x=1.8

9=1.8^2+a^2

9-3.24=a^2

a^2=5.76

a=2.4