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ABC is a right triangle. Find the length of x, the altitude of ABC. ​

ABC Is A Right Triangle Find The Length Of X The Altitude Of ABC class=

Sagot :

Profereyes12122id

Answer:

b. [tex]6\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{6}{x} =\frac{x}{18}[/tex]

[tex]x^{2} =[/tex][tex](6)(18)=108[/tex]

[tex]x=\sqrt{108} =\sqrt{(36)(3)} =6\sqrt{3}[/tex]

Hope this helps

MrRoyalid

The length of x, the altitude of triangle ABC  is [tex]6\sqrt3[/tex]

How to determine the length of x, the altitude of ABC​?

From the given figure, we have the following equivalent ratio:

6 : x =x: 18

Express as fraction

6/x = x/18

Cross multiply

[tex]x^2 = 6 * 18[/tex]

Evaluate the product

[tex]x^2 = 108[/tex]

Take the square root of both sides

[tex]x = 6\sqrt3[/tex]

Hence, the length of x, the altitude of ABC  is [tex]6\sqrt3[/tex]

Read more about right triangles at:

https://brainly.com/question/2437195

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