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![](https://rs.olm.vn/images/avt/0.png?1311)
sao cho gì vậy bạn?
a: Xét (O) có
ΔACB nội tiếp
AB là đường kính
Do đó: ΔACB vuông tại C
=>CB\(\perp\)AD
Xét ΔDBA vuông tại B có BC là đường cao
nên \(BC^2=CA\cdot CD\)
b: Bạn bổ sung dữ kiện đề bài đi bạn
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Xét (O) có
ΔACB nội tiếp đường tròn
AB là đường kính
Do đó: ΔACB vuông tại C
Xét ΔBAD vuông tại B có BC là đường cao
nên \(BC^2=CA\cdot CD\)
![](https://rs.olm.vn/images/avt/0.png?1311)
ta có:
gọi H là trung điểm BC
AH=6
sinB=AH/AB=6/10
theo định lí sin: AC/sinB=2R
<=>10/(6/10)=2R=>R=25/3 cm ( ngoại tiếp)
S=1/2.AH.BC=48
p=18
S=pr
=>r=S/p=48/18=2,6 (nội tiếp)
Gọi AM là đg cao tg ABC thì AM cũng là trung tuyến
Do đó \(BM=\dfrac{1}{2}BC=8\left(cm\right)\)
Áp dụng PTG: \(AM=\sqrt{AB^2-BM^2}=6\left(cm\right)\)
Ta có \(S=p\cdot r\) với p là nửa chu vi, S là diện tích, r là bán kính đg tròn nt tg ABC
Mà \(S=\dfrac{1}{2}AM\cdot BC=48\left(cm^2\right);p=\dfrac{10\cdot2+16}{2}=18\left(cm\right)\)
\(\Rightarrow r=\dfrac{S}{p}=\dfrac{48}{18}\approx2,7\left(cm\right)\)
Lời giải:
Ta có:
$\widehat{ACB}=90^0$ (góc nt chắn nửa đường tròn)
$\Rightarrow BC\perp AD$
$\widehat{ABD}=90^0$ (theo tính chất tiếp tuyến)
$\Rightarrow \triangle ABD$ vuông tại $B$
Vậy tam giác $ABD$ vuông tại $B$ có đường cao $BC$. Áp dụng công thức hệ thức lượng:
$BC^2=AC.CD$ (đpcm)
b.
$BO=BC=OC$ nên $BOC$ là tam giác đều
$\Rightarrow \widehat{CBO}=60^0$
$\Rightarrow \widehat{DAB}=\widehat{CAD}=30^0$
Xét tam giác $ABD$ vuông:
$BC=AB\tan \widehat{DAB}=2R\tan 30^0=8\tan 30^0=\frac{8\sqrt{3}}{3}$ (cm)
Hình vẽ:
![](data:image/png;base64,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)