SOLUTION: Please help me solve this word problem An equilateral triangle is plotted on a coordinate plane with two vertices at (0,0) and (10,0). What would the coordinates be before the thi
Algebra.Com
Question 867354: Please help me solve this word problem An equilateral triangle is plotted on a coordinate plane with two vertices at (0,0) and (10,0). What would the coordinates be before the third vertex?
Found 2 solutions by richard1234, mananth:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Either (5, 5 sqrt(3)) or (5, -5 sqrt(3)). Not enough info to determine which point.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the third vertex be A
A(x,y), B(0,0) C(10,0)
distance AB=BC=CA =10( equlateral triangle)
distance formula
AB = x^2-y^2
AC=(x-10)^2+y2
AB=AC
x^2-y^2=(x-10)^2+y2
x^2+y^2=(x^2-20x+100+y2)
20x=100
x=5
Plug x
x^2+y^2=100
25+y^2=100
y^2=75
y=+/-5sqrt(3)
A (x,5sqrt(3)) , (5,-5sqrt(3))
RELATED QUESTIONS
Please help me solve this question
If 'a' is the length of one of the sides of an... (answered by josgarithmetic,MathTherapy)
Would you be kind enough to help me with the following? On a coordinate plane, draw a... (answered by Alan3354)
Can you please help me solve this word problem:
An airplane traveling at 450 mph... (answered by ankor@dixie-net.com)
Which of the following best describes a triangle in a coordinate plane with vertices of... (answered by nomad_55)
please help me to solve the problem that is
The base of an equilateral triangle is... (answered by stanbon)
Please solve this word problem:
"A goat is enclosed in a 2(3.14) acre fenced... (answered by stanbon)
I had a problem stating that I had to "Plot 0, -5 on my coordinate plane. Then, label the (answered by josgarithmetic)
The vertices PQR are located at P -5, 2 and Q -2,5 and R -1, -1. The triangle can be... (answered by rothauserc)
Hi! Can you please help me to answer this question?
The other day I was helping a... (answered by Fombitz)