radomes.openskiesproject.org
KAITLINLT
KAITLINLT KAITLINLT
  • 09-09-2015
  • Mathematics
Answered

The vertices of ΔXYZ are X(−3, −6), Y(21, −6), and Z(21, 4). What is the perimeter of the triangle?

Verified Answer :

Julik
Julik Julik
  • 09-09-2015

\(XY= \sqrt{(21-(-3))^2+(-6-(-6))^2} = \sqrt{(21+3)^2+(12-12)^2} = \\ = \sqrt{24^2+0} = \sqrt{24^2} =24 \\ YZ= \sqrt{(21-21)^2+(4-(-6))^2} = \sqrt{0^2+(4+6)^2} = \sqrt{10^2} =10 \\ XZ= \sqrt{(21-(-3))^2+(4-(-6))^2} = \sqrt{(21+3)^2+(4+6)^2} = \\ =\sqrt{24^2+10^2} = \sqrt{576+100} = \sqrt{676} =26 \\ \\ P=XY+YZ+XZ=24+26+10=60\)

Answer Link

Related Questions

natural selection always acts on
A grant of humanitarian country parole is a discretionary determination granted on a casebycase basis for urgent humanitarian reasons or significant public bene
Some insects have become resistant to DDT True False
The climate and weather in the South have contributed to the development of
Rivers and mountains are examples of boundaries a intangible b territory c tangible d sovereign
Find the equation of the perpendicular bisector of line AB with A23 and B 45
The average worker has jobs during his or her career years A 3 c 6 B 4 d 12
A desert is defined as a region in which annual rainfall is less than 5 centimeters 10 centimeters 25 centimeters 30 centimeters
What are the documents required by the department of trade and industry when registering a private company
kai wrote the number 85 on the board Is 85 prime or composite Explain