Select the statements that are true about right isosceles triangles. All right isosceles triangles are proportional to each other. If the length of one leg of a right isosceles triangle is a, the length of the hypotenuse is 2a. The length of the altitude drawn from the hypotenuse is equal to half the length of the hypotenus The angles opposite the legs of a right isosceles triangle measure 45°. The ratio of the lengths of the sides of a right isosceles triangle is 1:1:2.

Select the statements that are true about right isosceles triangles. All right isosceles triangles are proportional to each other. If the length of one leg of a right isosceles triangle is a, the length of the hypotenuse is 2a. The length of the altitude drawn from the hypotenuse is equal to half the length of the hypotenus The angles opposite the legs of a right isosceles triangle measure 45°. The ratio of the lengths of the sides of a right isosceles triangle is 1:1:2.

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

I have a 45-45-90 triangle geometry problem.

Select the statements that are true about right isosceles triangles.
All right isosceles triangles are proportional to each other.
If the length of one leg of a right isosceles triangle is a, the length of the hypotenuse is 2a.
The length of the altitude drawn from the hypotenuse is equal to half the length of the hypotenuse
The angles opposite the legs of a right isosceles triangle measure 45°.
The ratio of the lengths of the sides of a right isosceles triangle is 1:1:2.

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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