the bottom or base edge b, the top left edge a, the

Jameson Lucero 2022-07-12 Answered
the bottom or base edge b,
the top left edge a,
the top right edge c.
Let a=c+2 and b=10.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Isla Klein
Answered 2022-07-13 Author has 12 answers
Taking the origin as the intersection of a and b, with the equation in terms of the angle θ at that vertex:
Through the cosine law we have:
( a 2 ) 2 = a 2 + 100 20 a cos θ
4 a + 4 = 100 20 a cos θ
a = 96 20 cos θ 4
With our particular setup, a is the radius. So this is a polar equation, where
r ( θ ) = 96 20 cos θ 4 = 24 5 cos θ 1
we can convert to cartesian coordinates if you want:
5 r cos θ r = 24
( 5 r cos θ 24 ) 2 = r 2
( 5 x 24 ) 2 = x 2 + y 2
y 2 = 24 x 2 240 x + 576
y 2 = 24 ( x 5 ) 2 24
( x 5 ) 2 y 2 24 = 1
which is a hyperbola. You want the rightmost branch (so a > 0), which is valid when cos θ < 1 5
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions