MikeyMan462
Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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

View image eudora
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.