brande59 brande59
  • 13-12-2021
  • Mathematics
contestada

what is the hypotenuse of a right triangle with a and b related by the statement a=b-5.

Respuesta :

ZhiEnChi
ZhiEnChi ZhiEnChi
  • 13-12-2021

Answer:

c = 5b ±sqrt(-10(b+a)+2)

Step-by-step explanation:

By using the Pythagoras theorem,

c² = a² + b²

a = b-5

b = a+5

c² = (b-5)² + (a+5)²

c² = b²-10b+25 + a²+10a+25

c² = b²-10b-10a+50

c² = b²-10(b+a)+50

c = 5b ±sqrt(-10(b+a)+2)

Answer Link

Otras preguntas

two ways to solve 2(4x-11)=10
14.285 to the nearest tenth?
the loss of farms, crops, and enslaved labor as a result of the civil war meant that the
Zoey is 346 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer represents the elevation, in met
A parking lot covers 32,420 square feet. What is its area to the nearest thousand feet
What type of junction includes "micro tunnels" that are formed between two cells?
The nurse is providing dietary teaching to a 40-year-old client who is receiving hemodialysis. the nurse should encourage the client to include what in the clie
Which of the following factors contributed to American consumer spending during the 1920s? A.People were willing to borrow money to buy products instead of savi
Why were the framers of the constitution concerned about concentrating government power in one place?
Civilization first emerged in china along the banks of the ______ river