Holt Mcdougal Larson Algebra 2: Student Edition 2012
Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
Expert Solution & Answer
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Chapter SR28, Problem 4P
Solution

Rewrite the conditional statement in if-then form. Then write its converse and tell whether the converse is true or false.

True.

Given:

In a right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.

Concept used:

  • A conditional statement has two parts, a hypothesis and a conclusion. When a conditional statement is written in if-then form, the “if” parts contains the hypothesis and the “then” part contains the conclusion.
  • The converse of a conditional statement is formed by switching the hypothesis and the conclusion.

Calculation:

Given - In a right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.

If-then form: If the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse then it is a right triangle.

Converse: If it is a right triangle then the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse

True.

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