Answered: A given triangle has the property that…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter3: Triangles

Section3.5: Inequalities In A Triangles

Problem 11E: Is it possible to draw a triangle whose angles measure a. 100, 100, and 60? b. 45, 45, and 90?

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A given triangle has the property that the measure of each angle is a square number. What are the angle measures?

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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Step 1

Since sum of all the angles of triangle is 180^°.

Possible angles can be the square no. less than 180^°, I.e.

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169

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