MikeyMan462
Answered

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC= 10 and DC = 4, what is the length of AC? (Note: the figure is not drawn to scale.)​

Given Right Triangle ABC With Altitude BD Drawn To Hypotenuse AC If BC 10 And DC 4 What Is The Length Of AC Note The Figure Is Not Drawn To Scale class=

Sagot :

Answer:

AC = 25 units

Step-by-step explanation:

Length of BC = 10 units

Length of DC = 4 units

We will use geometric mean theorem in the given right triangle to get the length of side AC.

[tex]\frac{\text{Hypotenuse}}{\text{leg}}=\frac{\text{leg}}{\text{Projection}}[/tex]

[tex]\frac{AC}{BC}=\frac{BC}{DC}[/tex]

[tex]\frac{x}{10}=\frac{10}{4}[/tex]

x = [tex]\frac{10\times 10}{4}[/tex]

x = 25 units

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