Answered: 3. 6.4 3.6

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.5: Percents

Problem 62WE

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Find the values of the variables in each right triangle.

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°).

Expert Solution

Step 1

Given: A figure with two right angles.

Apply Pythagoras theorem, to find the lengths of x and y.

Pythagoras Theorem states that in a right-angled triangle sum of squares of perpendicular adjacent sides of a triangle is equal to the square of the third side of the triangle.

In the smaller right-angled triangle:

$x^{2} + {(3.6)}^{2} = 6^{2} x^{2} = 36 - 12.96 x^{2} = 23.04 x = 4.8$

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