in the parabola 16y = 160- x2. Find the maximum area of the triangle if side s B and C is parallel to the x-axis. in an ellipse whose equation is 9x2 + 16y2-216x- 320y + 2320 = 0. One vertex A) is at (12, 16) while the two vertices (B and C) lie on the lower half of the ellipse. ertex B and vertex C is parallel to the x-axis. Find the area of the largest triangle

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 34E
icon
Related questions
Question
A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the other two
vertices (B and C) lie in the parabola 16y = 160 – x². Find the maximum area of the triangle if side
containing the vertices B and C is parallel to the x-axis.
A triangle is inscribed in an ellipse whose equation is 9x2 + 16y2 – 216x – 320y + 2320 = 0. One vertex
of the triangle (point A) is at (12, 16) while the two vertices (B and C) lie on the lower half of the ellipse.
The side containing vertex B and vertex C is parallel to the x-axis. Find the area of the largest triangle
formed.
Transcribed Image Text:A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the other two vertices (B and C) lie in the parabola 16y = 160 – x². Find the maximum area of the triangle if side containing the vertices B and C is parallel to the x-axis. A triangle is inscribed in an ellipse whose equation is 9x2 + 16y2 – 216x – 320y + 2320 = 0. One vertex of the triangle (point A) is at (12, 16) while the two vertices (B and C) lie on the lower half of the ellipse. The side containing vertex B and vertex C is parallel to the x-axis. Find the area of the largest triangle formed.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning