krystinpollard
krystinpollard krystinpollard
  • 20-02-2016
  • Mathematics
contestada

A triangle has an area of 36 square feet. If the height of the triangle is 6 more feet than its base, what is its height and base?

Respuesta :

Ilie
Ilie Ilie
  • 20-02-2016
If b is the base then the height h=b+6. As we have S=bh/2 then
36=b(b+6)/2;
b²+6b-72=0;
D/4=3²+72=81
b₁=-3-9=-12
b₂=-3+9=6.
The base is always positive so b=6, h=6+6=12.
Answer: base=6 ft, height=12 ft.

Answer Link

Otras preguntas

gaby buys a new bookshelf. there are 8 shelves she put 15 books on each shelf, how many books does gaby have in all ?
what was henry cabot lodge most known for following world war I? How did the four powers treaty and Kellog brand pact try to maintain peace?
Need help pls I'm having a very hard tim would appreciate for help
Which of the following are examples of non-governmental organization's? Check all that apply A) United Nations B) red across C) doctors without Borders D) amnes
Which ancient Greek philosopher was a pupil of Plato, tutored Alexander the Great, and is considered the Father of Zoology? A) Aristotle B) Diogenes C) Sa
What is deigned to protect you from injuries to ur head face eyes ears hands ,feet, respiratory tract ,and body?
what is the importance of the nitrogen cycle?
Are cells without a membrane-bound nucleus and membrane system in the cytoplasm cells?
If a=4b^2 and b=-1/2e^2, what is the value of a to the nearest tenth?
Wireshark or any other monitoring software running on a single computer connected to a switch doesn't see all the traffic on a network, but only the traffic the