Cho tam giác ABC vuông tại A, cạnh AB =6, BC = 10, kẻ đường cao AH vuông góc với ÁC (H thuộc AC). Tính độ dài cạnh AC

Respuesta :

Answer:

Length of side AC = 8 centimeter (Approx.)

Step-by-step explanation:

In given right triangle

Length of side AB = 6 centimeter

Length of side BC = 10 centimeter

Find:

Length of side AC

Computation:

Length of side AB (Base) = 6 centimeter

Length of side BC (Hypotenuse) = 10 centimeter

Length of side AC (Perpendicular)

Perpendicular = √Hypotenuse² - Base²

Length of side AC = √Length of side BC² - Length of side AB²

Length of side AC = √10² - 6²

Length of side AC = √100 - 36

Length of side AC = √64

Length of side AC = 8 centimeter (Approx.)

Answer:

AC = 8

Step-by-step explanation:

Xét tam giác ABC vuông tại A:

[tex]AB^2 + AC^2 = BC^2 (Pytago)\\=> AC = \sqrt{BC^2 - AB^2}\\=> AC = \sqrt{10^2 - 6^2}\\=> AC = \sqrt{100-36}\\=>AC = \sqrt{64}\\=> AC = 8[/tex]

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