Christopherse599 Christopherse599
  • 02-08-2015
  • Mathematics
contestada

Each leg of a 45-45-90 triangle has a length of 6 units. What is the length of its hypotenuse?

Respuesta :

naǫ
naǫ naǫ
  • 02-08-2015
Use the Pythagorean theorem:
[tex](\hbox{one leg})^2+(\hbox{the other leg})^2=(\hbox{hypotenuse})^2 \\ 6^2+6^2=x^2 \\ 6^2 \times 2=x^2 \\ \sqrt{6^2 \times 2}=x \\ \sqrt{6^2} \times \sqrt{2}=x \\ 6\sqrt{2}=x [/tex]
 
The length of the hypotenuse is 6√2 units.
Answer Link

Otras preguntas

The shirking of jury duty is a real problem in the United States. Give some reasons for this and suggest what can be done about it.
simplify each fraction. 4/12 3/9 2/16 10/40 6/18 4/20 7/27 8/26
Based on the chart, what are the three most effective methods to protect against pregnancy? pill, implant, injection patch, vaginal ring, implant patch, vaginal
In the skin, the epidermis can be compared to which of the following? a. A wall that protects a country from invaders b. A ship that transports cargo c. A telep
Please help me with these 2 questions. I am not good with angles
The growth and development of industry in the South a. was nonexistent before the start of the Civil War. b. had a greater impact on the southern economy than a
Write the slope intercept form
Does absolute power corrupt absolutely?
A tumor is injected with 0.1 grams of lodine-125, which has a decay rate of 1.15% per day. To the nearest day, how long will it take for half of the lodine-125
At 50oC the forward current flowing through the Si diode is 1mA, then the dynamic resistance of the diode is________?. Select one: a. 86 b. 66 c. 56 d. 76