NameDateClassLESSON Practice B5-7The Pythagorean TheoremFind the value of x. Give your answer in simplest radical form.3.1.2.1314x + 2154. The aspect ratio of a TV screen is the ratio of the width to the height of the image.A regular TV has an aspect ratio of 4 : 3. Find the height and width of a 42-inchTV screen to the nearest tenth of an inch. (The measure given is the length ofthe diagonal across the screen.)5. A "wide-screen" TV has an aspect ratio of 16 : 9. Find the lengthof a diagonal on a wide-screen TV screen that has the sameheight as the screen in Exercise 4.Find the missing side lengths. Give your answer in simplest radicalform. Tell whether the side lengths form a Pythagorean Triple.6.7.8.206.515Tell whether the measures can be the side lengths of a triangle. If so,classify the triangle as acute, obtuse, or right.9. 15, 18, 2010. 7, 8, 1111. 6, 7, 3/1312. Kitty has a triangle with sides that measure 16, 8, and 13. She does somecalculations and finds that 256 + 64 169. Kitty concludes that the triangleis obtuse. Evaluate Kitty's conclusion and Kitty's reasoning.Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.5-52Holt Geometry NameDateClassLESSON Practice A5-7The Pythagorean TheoremUse the Pythagorean Theorem and a calculator to find the value of x.Round to the nearest tenth if necessary.1.2.3.1012303424152 in.4. A home builder is designing the braces for a roof.She wants the length of the brace to be six timesits height. Refer to the figure to find the height ofthe brace to the nearest inch.3xFill in the blank to complete the definition of a Pythagorean Triple.5. A set of three nonzeroa, b, and csuch that a? + b² = c² is called a Pythagorean Triple.Use a calculator to find the missing side length. Round to the nearesttenth if necessary. Tell whether the side lengths form a PythagoreanTriple.6.4.57.8.145.62016Three segments have lengths of 7, 9, and 11. Complete Exercises9-12 to tell whether the segments can form a triangle and if thetriangle is acute, obtuse, or right.9. Tell whether the segments can form a triangle.10. The Pythagorean Theorem will tell you if the triangle is acute,obtuse, or right. In a? + b? = c², the longest segment mustbe c. Name the length of the longest segment.11. Substitute the lengths of the segments into a? + b? and c?.a? + b? =c² =12. If a? + b? is less than c?, the triangle is acute. If a² + b² is greaterthan c, the triangle is obtuse. If a + b² is equal to c, the triangleis right. What kind of triangle is made with segments of lengths7, 9, and 11?Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.5-51Holt Geometry

Question

NameDateClassLESSON Practice B5-7The Pythagorean TheoremFind the value of x. Give your answer in simplest radical form.3.1.2.1314x + 2154. The aspect ratio of a TV screen is the ratio of the width to the height of the image.A regular TV has an aspect ratio of 4 : 3. Find the height and width of a 42-inchTV screen to the nearest tenth of an inch. (The measure given is the length ofthe diagonal across the screen.)5. A &#34;wide-screen&#34; TV has an aspect ratio of 16 : 9. Find the lengthof a diagonal on a wide-screen TV screen that has the sameheight as the screen in Exercise 4.Find the missing side lengths. Give your answer in simplest radicalform. Tell whether the side lengths form a Pythagorean Triple.6.7.8.206.515Tell whether the measures can be the side lengths of a triangle. If so,classify the triangle as acute, obtuse, or right.9. 15, 18, 2010. 7, 8, 1111. 6, 7, 3/1312. Kitty has a triangle with sides that measure 16, 8, and 13. She does somecalculations and finds that 256 + 64 > 169. Kitty concludes that the triangleis obtuse. Evaluate Kitty's conclusion and Kitty's reasoning.Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.5-52Holt Geometry NameDateClassLESSON Practice A5-7The Pythagorean TheoremUse the Pythagorean Theorem and a calculator to find the value of x.Round to the nearest tenth if necessary.1.2.3.1012303424152 in.4. A home builder is designing the braces for a roof.She wants the length of the brace to be six timesits height. Refer to the figure to find the height ofthe brace to the nearest inch.3xFill in the blank to complete the definition of a Pythagorean Triple.5. A set of three nonzeroa, b, and csuch that a? + b² = c² is called a Pythagorean Triple.Use a calculator to find the missing side length. Round to the nearesttenth if necessary. Tell whether the side lengths form a PythagoreanTriple.6.4.57.8.145.62016Three segments have lengths of 7, 9, and 11. Complete Exercises9-12 to tell whether the segments can form a triangle and if thetriangle is acute, obtuse, or right.9. Tell whether the segments can form a triangle.10. The Pythagorean Theorem will tell you if the triangle is acute,obtuse, or right. In a? + b? = c², the longest segment mustbe c. Name the length of the longest segment.11. Substitute the lengths of the segments into a? + b? and c?.a? + b? =c² =12. If a? + b? is less than c?, the triangle is acute. If a² + b² is greaterthan c, the triangle is obtuse. If a + b² is equal to c, the triangleis right. What kind of triangle is made with segments of lengths7, 9, and 11?Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.5-51Holt Geometry

Accepted Answer

Answered: Image /qna-images/answer/324dd728-dde4-4e74-9741-cb480a74fc65.jpg

Find the value of x. Give your answer in simplest radical form. 1. 2. 3. 13 14 x+ 2 15