Answered: 4-The measure of the side of an…

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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1-If a triangle has two congruent sides and is not right, prove that the line joining the feet of the heights on the congruent sides is parallel to the third of the sides.

2- Show that the points of the bisector of an angle are equidistant from its sides.

3-Using similarity or congruence, show that if a right triangle has an angle of 30º, then the leg opposite it measures half the hypotenuse.

4-The measure of the side of an equilateral triangle is x.
a) Calculate the height of said triangle as a function of x
b) Remembering that the area of a triangle is the semiproduct of the base and the height. Express the area of the triangle as a function of x.

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