Question

In triunghiul ABC dreptunghic in A , inaltimea AD=12cm si AB/AC=3/4.Calculati ipotenuzaBC.

Answer 1

AB =3k
AC =4k
BC^2 =(3k)^2+(4k)^2 =9k^2+16k^2 =25k^2
BC =5k

AD =AB*AC/BC =3k*4k/5k =12k^2/5k =12k/5  ;   
AD =12
12 =12k/5  ;      k =12*5/12 =5
AB =3k =3*5 =15 cm
AC =4k =4*5 =20 cm
BC =5k =5*5 =25 cm