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Bạn giải cặn kẽ hơn đc ko ạ
bài này mình không phải bài khoanh nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
Trả lời dùm minh với, mình đang vội lắm
Ai nhanh nhất mình k cho
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1: (bạn tự vẽ hình vì hình cũng dễ)
Ta có: AB = AH + BH = 1 + 4 = 5 (cm)
Vì tam giác ABC cân tại B => BA = BC => BC = 5 (cm)
Xét tam giác BCH vuông tại H có:
\(HB^2+CH^2=BC^2\left(pytago\right)\)
\(4^2+CH^2=5^2\)
\(16+CH^2=25\)
\(\Rightarrow CH^2=25-16=9\)
\(\Rightarrow CH=\sqrt{9}=3\left(cm\right)\)
Tới đây xét tiếp pytago với tam giác ACH là ra AC nhé
Bài 2: Sử dụng pytago với tam giác ABH => AH
Sử dụng pytago với ACH => AC
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Câu 1:
Xét tam giác ABH vuông tại H, ta có:
AB2 = AH2 + HB2 (định lý Py-ta-go)
202 = AH2 + 162
400 = AH2 + 256
AH2 = 400 - 256
AH2 = 144
AH = \(\sqrt{144}\)= 12 (cm)
Xét tam giác AHC vuông tại H, ta có:
AC2 = AH2 + HC2 (định lý Py-ta-go)
AC2 = 122 + 52
AC2 = 144 + 25
AC2 = 169
AC = \(\sqrt{169}\)= 13 (cm)
Vậy AH = 12 cm
AC = 13 cm
Bài 2:
Xét tam giác AHC vuông tại H, ta có:
AC2 = AH2 + HC2 (định lý Py-ta-go)
152 = AH2 + 92
225 = AH2 + 81
AH2 = 225 - 81
AH2 = 144
AH = \(\sqrt{144}\)= 12 (cm)
Xét tam giác AHB vuông tại, ta có:
AB2 = AH2 + HB2 (định lý Py-ta-go)
AB2 = 122 + 52
AB2 = 144 + 25
AB2 = 169
AB = \(\sqrt{169}\)= 13 (cm)
Vậy AB = 13 cm
![](https://rs.olm.vn/images/avt/0.png?1311)
b: \(BH=\dfrac{5\sqrt{3}}{3}\left(cm\right)\)
a: Đề sai rồi bạn
a.=> BC = BH + CH = 1 + 3 = 4 cm
áp dụng định lý pitago vào tam giác vuông AHB
\(AB^2=HB^2+AH^2\)
\(AB=\sqrt{1^2+2^2}=\sqrt{5}cm\)
áp dụng định lí pitago vào tam giác vuông AHC
\(AC^2=AH^2+HC^2\)
\(AC=\sqrt{2^2+3^2}=\sqrt{13}cm\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, Theo định lí Pytago tam giác ABH vuông tại H
\(AB=\sqrt{BH^2+AH^2}=\sqrt{5}cm\)
Theo định lí Pytago tam giác AHC vuông tại H
\(AC=\sqrt{AH^2+HC^2}=\sqrt{4+9}=\sqrt{13}\)cm
-> BC = HB + HC = 4 cm
b, Ta có tam giacs ABC đều mà BH là đường cao hay BH đồng thời là đường trung tuyến
=> AH = AC/2 = 5/2
Theo định lí Pytago tam giác ABH vuông tại H
\(BH=\sqrt{AB^2-AH^2}=\dfrac{5\sqrt{3}}{2}cm\)
Lời giải:
Vì tam giác $ABC$ đều nên đường cao $AH$ đồng thời là đường trung tuyến hay $H$ là trung điểm $BC$
$\Rightarrow BH=BC:2=0,5$ (cm)
Áp dụng định lý Pitago cho tam giác $ABH$ vuông:
$AH=\sqrt{AB^2-BH^2}=\sqrt{1^2-0,5^2}=\frac{\sqrt{3}}{2}$ (cm)
Hình vẽ:
![](data:image/png;base64,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)