Explanation Procedure used: The Pythagoras theorem states that the square of the longest side called hypotenuse of the right triangle is equal to the sum of squares of other two sides called legs is given by, x 2 + y 2 = ( H ) 2 Where x and y are two sides of the right triangle and H is the hypotenuse of the right triangle. The property of factoring is, a b = 0 if and only if a = 0 or b = 0 . Given: The sum of the lengths of the two legs of a right triangle is 21 inches and the length of the hypotenuse is 15 inches. Calculation: The right angle triangle A B C is given as, Figure (1) The sum of two legs of the above right triangle is 21 and the hypotenuse is 15 inches. Consider the two legs as x and ( 21 − x ) . The above statement gives the equation as follows; x + ( 21 − x ) = 21 ⋅ ⋅ ⋅ ( 1 ) According to the Pythagoras theorem the square of the longest side called hypotenuse of the right triangle is equal to the sum of squares of other two sides called legs as shown below, x 2 + ( 21 − x ) 2 = ( 15 ) 2 ⋅ ⋅ ⋅ ( 2 ) Simplify the above equation,

10th Edition

ISBN: 9781305191495

Author: Jerome E. Kaufmann; Karen L. Schwitters

Publisher: Cengage Learning US

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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°).

Chapter 6.5, Problem 49PS

To determine

To find:

The length of each leg of a triangle.

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Chapter 6.5, Problem 48PS

Chapter 6.5, Problem 50PS

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Chapter 6 Solutions

Intermediate Algebra

Ch. 6.1 - Prob. 1CQ Ch. 6.1 - Prob. 2CQ Ch. 6.1 - Prob. 3CQ Ch. 6.1 - Prob. 4CQ Ch. 6.1 - Prob. 5CQ Ch. 6.1 - Prob. 6CQ Ch. 6.1 - Prob. 7CQ Ch. 6.1 - Prob. 8CQ Ch. 6.1 - Prob. 9CQ Ch. 6.1 - Prob. 10CQ

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