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nd the length of the hypotenuse of a right triangle if the lengths of the other two sid B

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter5: Similar Triangles

Section5.4: The Pythagorean Theorem

Problem 43E: Use Figure 5.19 to prove Theorem 5.4.2. Theorem 5.4.2 The length of the altitude to the hypotenuse...

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Similar questions

a To locate the orthocenter, is it necessary to construct all three altitude of a right triangle? b What point is the orthocenter of any right triangle?
In the illustration, point M is the midpoint of the hypotenuse of right triangle AOB. Show that the area of rectangle OLMN is one-half of the area of triangle AOB.
In right triangle ABC,CD- is the altitude from C to hypotenuse AB-. Name three triangles that are similar to each other.
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
Use Figure 5.19 to prove Theorem 5.4.2. Theorem 5.4.2 The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.