Badbpyz1210 Badbpyz1210
  • 15-04-2020
  • Mathematics
contestada

In the right triangle shown, AC = BCAC=BCA, C, equals, B, C and AB = 6AB=6A, B, equals, 6.

How long are each of the legs?

Respuesta :

Newton9022 Newton9022
  • 17-04-2020

Answer:

[tex]|AC|=|BC|=3\sqrt{2}[/tex]

Step-by-step explanation:

In a right triangle, the hypotenuse is always the longest side. Since AC = BC, AB is the Hypotenuse.

Using Pythagoras theorem

[tex]|AB|=6,|AC|=|BC|\\|AB|^2=|AC|^2+|BC|^2\\6^2=2|AC|^2\\36=2|AC|^2\\18=|AC|^2\\|AC|=\sqrt{18}=3\sqrt{2} \\Therefore, |AC|=|BC|=3\sqrt{2}[/tex]

Ver imagen Newton9022
Answer Link

Otras preguntas

how does geography affect Philippines history?
how did supporters view the storming of the bastille
Move the decimal point in 250,000 to the left as many places as necessary to find a number that is greater than or equal to 1 and less to 10.
which state was the first to abolish slavery
which state was the first to abolish slavery
Samuel's Car Service will charge a flat travel fee of $4.75 for anyone making a trip. They charge an additional set rate of $1.50 per mile that is traveled. Wha
Why was the NATO created?
What are the possible values for x in the equation 4x²=641) x=02) x=43) x=4,-44) x=0,4,-4
What are 2 ways that being near rivers helped civilizations to survive?
can be lined with moist filter paper to catch insoluble solids a. calorimeter b. Geiger counter c. Burette d. Funnel e. Bunsen burner