Answered: Consider the two-leaf hyperboloid…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Consider the two-leaf hyperboloid defined by the equation x²/25−y²/25−z²=1 and the hyperbola intersection of this quadratic with the plane of equation z=4. Check the alternative that contains the value of the area of the triangle whose vertices are the origin and two foci of the hyperbola.

Choose the correct alternative:

a. 20√34

b. 10√34

c.40√34

d. 20√17

e. 20√38

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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