Cho tam giác ABC;góc A=90 độ;AB=8cm;AC=15cm.
a)Tính BC.
b)Gọi I là giao điểm các tia phân giác của tam giác ABC.Tính khoảng cách từ điểm I đến các cạnh của tam giác.
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bài 2:
ta có: AB<AC<BC(Vì 3cm<4cm<5cm)
=> góc C>góc A> góc B (Các cạnh và góc đồi diện trong tam giác)
Bài 3:
*Xét tam giác ABC, có:
góc A+góc B+góc c= 180 độ( tổng 3 góc 1 tam giác)
hay góc A+60 độ +40 độ=180độ
=> góc A= 180 độ-60 độ-40 độ.
=> góc A=80 độ
Ta có: góc A>góc B>góc C(vì 80 độ>60 độ>40 độ)
=> BC>AC>AB( Các cạnh và góc đối diện trong tam giác)
bài 2:
ta có: AB <AC <BC (Vì 3cm <4cm <5cm)
=> góc C>góc A> góc B (Các cạnh và góc đồi diện trong tam giác)
Bài 3:
*Xét tam giác ABC, có:
góc A+góc B+góc c= 180 độ( tổng 3 góc 1 tam giác)
hay góc A+60 độ +40 độ=180độ
=> góc A= 180 độ-60 độ-40 độ.
=> góc A=80 độ
Ta có: góc A>góc B>góc C(vì 80 độ>60 độ>40 độ)
=> BC>AC>AB( Các cạnh và góc đối diện trong tam giác)
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cho tam giác ABC=tam giác DEF và tam giác DEF = tam giác HIK. chứng minh tam giác ABC = tam giác HIK
Ta có: tam giác ABC=tam giác DEF (1)
và tam giác DEF = tam giác HIK (2)
Từ (1) và (2) => tam giác ABC = tam giác HIK
cho tam giác ABC=tam giác DEF và tam giác DEF = tam giác HIK. chứng minh tam giác ABC = tam giác HIK
Biết tam giác abc bằng tam giác DEF, tg DEF = tg HIK suy ra tam giác ABC = tam giác HIK
a- Áp dụng định lí pitago vào tam giác ABC vuông tại A .
\(BC=\sqrt{AB^2+AC^2}=17\left(cm\right)\)
b, Ta có khoảng các từ I đến các cạnh là như nhau .
Mà \(S=\dfrac{1}{2}AB.AC=d_{\left(I,AB\right)}.p=60=d_{\left(I,AB\right)}.20\)
=> Khoảng cách từ I đến các cạnh là : \(\dfrac{60}{20}=3\left(cm\right)\)