McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Equations and inequalities describe the relationship between two mathematical expressions.
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Chapter 10, Problem 8CT
To determine

In a right triangle

(a) the ... of the triangle intersect at a point on the hypotenuse,

(b) the... intersect at a point inside the triangle, and

(c) the altitudes of the triangle intersect at a ... of the triangle

Expert Solution & Answer
Check Mark

Answer to Problem 8CT

a) Point of intersection of perpendicular bisector of sides is the mid point of hypotenuse b) Vertex

c) Ortho centre

Explanation of Solution

Given:

Right angle Triangle follows The Pythagorean theorem.

Description:

a) The Pythagorean theorem states that: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). so the answer is Point of intersection of perpendicular bisector of sides is the midpoint of hypotenuse

b) The circumcentre lies inside the triangle for acute triangles, on the hypotenuse for right triangles and lies outside the triangle for obtuse triangles. The circumcentre coincides with the midpoint of the hypotenuse if it is an isosceles right triangle.

c) The three altitudes of a triangle intersect at the orthocentre, which for an acute triangle is inside the triangle.

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Chapter 10, Problem 7CT
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Chapter 10, Problem 9CT

Chapter 10 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 10.1 - Prob. 1CECh. 10.1 - Prob. 2CECh. 10.1 - Prob. 3CECh. 10.1 - Prob. 4CECh. 10.1 - Prob. 5CECh. 10.1 - Prob. 6CECh. 10.1 - Prob. 1WECh. 10.1 - Prob. 2WECh. 10.1 - Prob. 3WECh. 10.1 - Prob. 4WE
Ch. 10.1 - Prob. 5WECh. 10.1 - Prob. 6WECh. 10.1 - Prob. 7WECh. 10.1 - Prob. 8WECh. 10.1 - Prob. 9WECh. 10.1 - Prob. 10WECh. 10.1 - Prob. 11WECh. 10.1 - Prob. 12WECh. 10.1 - Prob. 13WECh. 10.1 - Prob. 14WECh. 10.1 - Prob. 15WECh. 10.1 - Prob. 16WECh. 10.1 - Prob. 17WECh. 10.1 - Prob. 18WECh. 10.1 - Prob. 19WECh. 10.1 - Prob. 20WECh. 10.1 - Prob. 21WECh. 10.1 - Prob. 22WECh. 10.1 - Prob. 23WECh. 10.1 - Prob. 24WECh. 10.1 - Prob. 25WECh. 10.1 - Prob. 26WECh. 10.1 - Prob. 1MRECh. 10.1 - Prob. 2MRECh. 10.1 - Prob. 3MRECh. 10.1 - Prob. 4MRECh. 10.1 - Prob. 5MRECh. 10.1 - Prob. 6MRECh. 10.2 - Prob. 1CECh. 10.2 - Prob. 2CECh. 10.2 - Prob. 3CECh. 10.2 - Prob. 4CECh. 10.2 - Prob. 5CECh. 10.2 - Prob. 6CECh. 10.2 - Prob. 7CECh. 10.2 - Prob. 8CECh. 10.2 - Prob. 9CECh. 10.2 - Prob. 10CECh. 10.2 - Prob. 11CECh. 10.2 - Prob. 12CECh. 10.2 - Prob. 13CECh. 10.2 - Prob. 1WECh. 10.2 - Prob. 2WECh. 10.2 - Prob. 3WECh. 10.2 - Prob. 4WECh. 10.2 - Prob. 5WECh. 10.2 - Prob. 6WECh. 10.2 - Prob. 7WECh. 10.2 - Prob. 8WECh. 10.2 - Prob. 9WECh. 10.2 - Prob. 10WECh. 10.2 - Prob. 11WECh. 10.2 - Prob. 12WECh. 10.2 - Prob. 13WECh. 10.2 - Prob. 14WECh. 10.2 - Prob. 15WECh. 10.2 - Prob. 16WECh. 10.2 - Prob. 17WECh. 10.2 - Prob. 18WECh. 10.2 - Prob. 19WECh. 10.2 - Prob. 20WECh. 10.2 - Prob. 21WECh. 10.2 - Prob. 22WECh. 10.2 - Prob. 23WECh. 10.2 - Prob. 24WECh. 10.2 - Prob. 25WECh. 10.2 - Prob. 26WECh. 10.2 - Prob. 27WECh. 10.2 - Prob. 28WECh. 10.2 - Prob. 1EXCh. 10.2 - Prob. 2EXCh. 10.2 - Prob. 3EXCh. 10.3 - Prob. 1CECh. 10.3 - Prob. 2CECh. 10.3 - Prob. 3CECh. 10.3 - Prob. 4CECh. 10.3 - Prob. 5CECh. 10.3 - Prob. 6CECh. 10.3 - Prob. 1WECh. 10.3 - Prob. 2WECh. 10.3 - Prob. 3WECh. 10.3 - Prob. 4WECh. 10.3 - Prob. 5WECh. 10.3 - Prob. 6WECh. 10.3 - Prob. 7WECh. 10.3 - Prob. 8WECh. 10.3 - Prob. 9WECh. 10.3 - Prob. 10WECh. 10.3 - Prob. 11WECh. 10.3 - Prob. 12WECh. 10.3 - Prob. 13WECh. 10.3 - Prob. 14WECh. 10.3 - Prob. 15WECh. 10.3 - Prob. 16WECh. 10.3 - Prob. 17WECh. 10.3 - Prob. 1ST1Ch. 10.3 - Prob. 2ST1Ch. 10.3 - Prob. 3ST1Ch. 10.3 - Prob. 4ST1Ch. 10.3 - Prob. 5ST1Ch. 10.3 - Prob. 6ST1Ch. 10.3 - Prob. 7ST1Ch. 10.3 - Prob. 8ST1Ch. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 1MRECh. 10.3 - Prob. 2MRECh. 10.3 - Prob. 3MRECh. 10.3 - Prob. 1EXCh. 10.3 - Prob. 2EXCh. 10.4 - Prob. 1CECh. 10.4 - Prob. 2CECh. 10.4 - Prob. 3CECh. 10.4 - Prob. 4CECh. 10.4 - Prob. 5CECh. 10.4 - Prob. 6CECh. 10.4 - Prob. 7CECh. 10.4 - Prob. 1WECh. 10.4 - Prob. 2WECh. 10.4 - Prob. 3WECh. 10.4 - Prob. 4WECh. 10.4 - Prob. 5WECh. 10.4 - Prob. 6WECh. 10.4 - Prob. 7WECh. 10.4 - Prob. 8WECh. 10.4 - Prob. 9WECh. 10.4 - Prob. 10WECh. 10.4 - Prob. 11WECh. 10.4 - Prob. 12WECh. 10.4 - Prob. 13WECh. 10.4 - Prob. 14WECh. 10.4 - Prob. 15WECh. 10.4 - Prob. 16WECh. 10.4 - Prob. 17WECh. 10.4 - Prob. 18WECh. 10.4 - Prob. 19WECh. 10.4 - Prob. 20WECh. 10.4 - Prob. 21WECh. 10.5 - Prob. 1CECh. 10.5 - Prob. 2CECh. 10.5 - Prob. 3CECh. 10.5 - Prob. 4CECh. 10.5 - Prob. 5CECh. 10.5 - Prob. 6CECh. 10.5 - Prob. 7CECh. 10.5 - Prob. 8CECh. 10.5 - Prob. 9CECh. 10.5 - Prob. 10CECh. 10.5 - Prob. 11CECh. 10.5 - Prob. 1WECh. 10.5 - Prob. 2WECh. 10.5 - Prob. 3WECh. 10.5 - Prob. 4WECh. 10.5 - Prob. 5WECh. 10.5 - Prob. 6WECh. 10.5 - Prob. 7WECh. 10.5 - Prob. 8WECh. 10.5 - Prob. 9WECh. 10.5 - Prob. 10WECh. 10.5 - Prob. 11WECh. 10.5 - Prob. 12WECh. 10.5 - Prob. 13WECh. 10.5 - Prob. 14WECh. 10.5 - Prob. 15WECh. 10.5 - Prob. 16WECh. 10.5 - Prob. 17WECh. 10.5 - Prob. 18WECh. 10.5 - Prob. 1ST2Ch. 10.5 - Prob. 2ST2Ch. 10.5 - Prob. 3ST2Ch. 10.5 - Prob. 4ST2Ch. 10.5 - Prob. 5ST2Ch. 10.5 - Prob. 6ST2Ch. 10.5 - Prob. 7ST2Ch. 10.6 - Prob. 1CECh. 10.6 - Prob. 2CECh. 10.6 - Prob. 3CECh. 10.6 - Prob. 4CECh. 10.6 - Prob. 5CECh. 10.6 - Prob. 6CECh. 10.6 - Prob. 7CECh. 10.6 - Prob. 8CECh. 10.6 - Prob. 9CECh. 10.6 - Prob. 10CECh. 10.6 - Prob. 11CECh. 10.6 - Prob. 12CECh. 10.6 - Prob. 1WECh. 10.6 - Prob. 2WECh. 10.6 - Prob. 3WECh. 10.6 - Prob. 4WECh. 10.6 - Prob. 5WECh. 10.6 - Prob. 6WECh. 10.6 - Prob. 7WECh. 10.6 - Prob. 8WECh. 10.6 - Prob. 9WECh. 10.6 - Prob. 10WECh. 10.6 - Prob. 11WECh. 10.6 - Prob. 12WECh. 10.6 - Prob. 13WECh. 10.6 - Prob. 14WECh. 10.6 - Prob. 15WECh. 10.6 - Prob. 16WECh. 10.6 - Prob. 17WECh. 10.6 - Prob. 18WECh. 10.6 - Prob. 19WECh. 10.6 - Prob. 20WECh. 10.6 - Prob. 21WECh. 10.6 - Prob. 22WECh. 10.6 - Prob. 23WECh. 10.6 - Prob. 24WECh. 10.7 - Prob. 1CECh. 10.7 - Prob. 2CECh. 10.7 - Prob. 3CECh. 10.7 - Prob. 4CECh. 10.7 - Prob. 5CECh. 10.7 - Prob. 6CECh. 10.7 - Prob. 7CECh. 10.7 - Prob. 8CECh. 10.7 - Prob. 9CECh. 10.7 - Prob. 10CECh. 10.7 - Prob. 1WECh. 10.7 - Prob. 2WECh. 10.7 - Prob. 3WECh. 10.7 - Prob. 4WECh. 10.7 - Prob. 5WECh. 10.7 - Prob. 6WECh. 10.7 - Prob. 7WECh. 10.7 - Prob. 8WECh. 10.7 - Prob. 9WECh. 10.7 - Prob. 10WECh. 10.7 - Prob. 11WECh. 10.7 - Prob. 12WECh. 10.7 - Prob. 13WECh. 10.7 - Prob. 14WECh. 10.7 - Prob. 15WECh. 10.7 - Prob. 16WECh. 10.7 - Prob. 17WECh. 10.7 - Prob. 18WECh. 10.7 - Prob. 19WECh. 10.7 - Prob. 20WECh. 10.7 - Prob. 21WECh. 10.7 - Prob. 22WECh. 10.7 - Prob. 23WECh. 10.7 - Prob. 24WECh. 10.8 - Prob. 1CECh. 10.8 - Prob. 2CECh. 10.8 - Prob. 1WECh. 10.8 - Prob. 2WECh. 10.8 - Prob. 3WECh. 10.8 - Prob. 4WECh. 10.8 - Prob. 5WECh. 10.8 - Prob. 6WECh. 10.8 - Prob. 7WECh. 10.8 - Prob. 8WECh. 10.8 - Prob. 9WECh. 10.8 - Prob. 10WECh. 10.8 - Prob. 11WECh. 10.8 - Prob. 12WECh. 10.8 - Prob. 13WECh. 10.8 - Prob. 14WECh. 10.8 - Prob. 15WECh. 10.8 - Prob. 16WECh. 10.8 - Prob. 17WECh. 10.8 - Prob. 18WECh. 10.8 - Prob. 19WECh. 10.8 - Prob. 1ST3Ch. 10.8 - Prob. 2ST3Ch. 10.8 - Prob. 3ST3Ch. 10.8 - Prob. 4ST3Ch. 10.8 - Prob. 5ST3Ch. 10.8 - Prob. 6ST3Ch. 10.8 - Prob. 7ST3Ch. 10.8 - Prob. 1ECh. 10.8 - Prob. 2ECh. 10.8 - Prob. 3ECh. 10.8 - Prob. 4ECh. 10.8 - Prob. 5ECh. 10.8 - Prob. 6ECh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - Prob. 3CRCh. 10 - Prob. 4CRCh. 10 - Prob. 5CRCh. 10 - Prob. 6CRCh. 10 - Prob. 7CRCh. 10 - Prob. 8CRCh. 10 - Prob. 9CRCh. 10 - Prob. 10CRCh. 10 - Prob. 11CRCh. 10 - Prob. 12CRCh. 10 - Prob. 13CRCh. 10 - Prob. 14CRCh. 10 - Prob. 15CRCh. 10 - Prob. 16CRCh. 10 - Prob. 17CRCh. 10 - Prob. 18CRCh. 10 - Prob. 19CRCh. 10 - Prob. 20CRCh. 10 - Prob. 21CRCh. 10 - Prob. 22CRCh. 10 - Prob. 23CRCh. 10 - Prob. 24CRCh. 10 - Prob. 25CRCh. 10 - Prob. 26CRCh. 10 - Prob. 27CRCh. 10 - Prob. 1CTCh. 10 - Prob. 2CTCh. 10 - Prob. 3CTCh. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - Prob. 8CTCh. 10 - Prob. 9CTCh. 10 - Prob. 10CTCh. 10 - Prob. 11CTCh. 10 - Prob. 12CTCh. 10 - Prob. 1ARCh. 10 - Prob. 2ARCh. 10 - Prob. 3ARCh. 10 - Prob. 4ARCh. 10 - Prob. 5ARCh. 10 - Prob. 6ARCh. 10 - Prob. 7ARCh. 10 - Prob. 8ARCh. 10 - Prob. 9ARCh. 10 - Prob. 10ARCh. 10 - Prob. 11ARCh. 10 - Prob. 12ARCh. 10 - Prob. 13ARCh. 10 - Prob. 14ARCh. 10 - Prob. 15ARCh. 10 - Prob. 16ARCh. 10 - Prob. 17ARCh. 10 - Prob. 18ARCh. 10 - Prob. 19ARCh. 10 - Prob. 20ARCh. 10 - Prob. 21ARCh. 10 - Prob. 22ARCh. 10 - Prob. 23ARCh. 10 - Prob. 24ARCh. 10 - Prob. 25ARCh. 10 - Prob. 26ARCh. 10 - Prob. 27ARCh. 10 - Prob. 28ARCh. 10 - Prob. 29ARCh. 10 - Prob. 30ARCh. 10 - Prob. 31ARCh. 10 - Prob. 32ARCh. 10 - Prob. 1CURCh. 10 - Prob. 2CURCh. 10 - Prob. 3CURCh. 10 - Prob. 4CURCh. 10 - Prob. 5CURCh. 10 - Prob. 6CURCh. 10 - Prob. 7CURCh. 10 - Prob. 8CURCh. 10 - Prob. 9CURCh. 10 - Prob. 10CURCh. 10 - Prob. 11CURCh. 10 - Prob. 12CURCh. 10 - Prob. 13CURCh. 10 - Prob. 14CURCh. 10 - Prob. 15CURCh. 10 - Prob. 16CURCh. 10 - Prob. 17CURCh. 10 - Prob. 18CURCh. 10 - Prob. 19CUR

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