Question

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Answer 1

in ΔABC dreptunghic
Teorema inaltimii : AD² = BD * DC si BD+DC=BC

a) DC=63 si BC=70 ⇒ BD= 70-63 = 7 cm
AD² = 63*7= 441⇒ AD=√441=21 cm

b) BD=8 si BC=26⇒ DC=26-8=18 cm
AD² = 8*18 = 144⇒AD=√144=12cm

c) CD=16 si AD=12
12² = 16*BD ⇒ 144=16*BD⇒ BD=144:16 = 9cm
BC= 16+9=25cm

d) BD=27 si AD=12
12² = 27*CD ⇒ CD=144:27=16/3 cm
BC = 27 +16/3 = (81+16)/3 = 97/3cm