Answered: In triangle XY Z, the measure of ∠XZY…

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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In triangle XY Z, the measure of ∠XZY is 90◦. Also, Y Z = x cm, XZ = y cm, and hypotenuse XY has length z cm. Further, the perimeter of triangle XY Z is P cm and the area of triangle XY Z
is A cm^2.

Solve the following subparts:

(a) If z = 50 and A = 336, what is the value of P?
(b) Determine all possible integer values of x, y and z for which A = 3P.
(c) Suppose that x, y and z are integers, that P = 510, and that A = kP for some
prime number k. Determine all possible values of k.

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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