Question

Ex 1 cat mai repede, toate subpct.

Answer 1

a)BC=20cm si BD=16cm. CD,AB,AC,AD=?

CD=BC-BD=20-16=4 cm

AB²=BD*BC(Teorema catetei)

AB²=16*20=320

AB=√320=8√5 cm

AC²=CD*BC

AC²=4*20=80

AC=√80=4√5 cm

AD²=CD*BD=4*16=64

AD=√64=8 cm

b)AB=18cm si BC=30cm. BD,CD,AC,AD=?

AB²=BD*BC

18²=30BD

324=3OBD

BD=10,8 cm

CD=BC-BD

CD=30-10,8=19,2 cm

AC²=CD*BC

AC²=19,2*30=576

AC=√576=24 cm

AD²=BD*CD=10,8*19,2

AD²=207,36

AD²=20736/100

AD=√20736/100

AD=144/10

AD=14,4 cm

c)BD=36 cm si AB=60 cm. BC,CD,AC,AD=?

AB²=BD*BC

60²=36BC

3600=36BC

BC=100 cm

CD=BC-BD

CD=100-36=64 cm

AC²=CD*BC

AC²=64*100

AC²=6400

AC=√6400

AC=80 cm

AD²=BD*CD

AD²=36*64

AD²=2304

AD=√2304

AD=48 cm