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(a) 10. Use the Pythagorean Theorem to find x in each of the following: 10 di absiro 13 (C) 5 13 12 Right rectangular prism (f) D Right circular cone (h)

(a) 10. Use the Pythagorean Theorem to find x in each of the following: 10 di absiro 13 (C) 5 13 12 Right rectangular prism (f) D Right circular cone (h)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Question 10**: Use the Pythagorean Theorem to find \( x \) in each of the following: **(a) Right Triangle:** - This triangle is labeled with legs measuring 8 and an unknown \( x \), and the hypotenuse measuring 10. **(c) Isosceles Triangle:** - This triangle has two equal sides measuring 13 and a base measuring 5. The height, marked as \( x \), creates two right triangles within the larger triangle. **(f) Right Rectangular Prism:** - The dimensions of the prism are given as follows: width = 5, depth = 12, and height = \( x \). In this context, \( x \) forms the diagonal of a rectangle within the prism. **(h) Right Circular Cone:** - This cone has a height of 6 and a base radius of 3. The slant height, labeled \( x \), represents the hypotenuse of a right triangle formed by the height and the radius. In each of these shapes, the Pythagorean Theorem can be applied to find the unknown \( x \) by using the formula \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse.
Transcribed Image Text:**Question 10**: Use the Pythagorean Theorem to find \( x \) in each of the following: **(a) Right Triangle:** - This triangle is labeled with legs measuring 8 and an unknown \( x \), and the hypotenuse measuring 10. **(c) Isosceles Triangle:** - This triangle has two equal sides measuring 13 and a base measuring 5. The height, marked as \( x \), creates two right triangles within the larger triangle. **(f) Right Rectangular Prism:** - The dimensions of the prism are given as follows: width = 5, depth = 12, and height = \( x \). In this context, \( x \) forms the diagonal of a rectangle within the prism. **(h) Right Circular Cone:** - This cone has a height of 6 and a base radius of 3. The slant height, labeled \( x \), represents the hypotenuse of a right triangle formed by the height and the radius. In each of these shapes, the Pythagorean Theorem can be applied to find the unknown \( x \) by using the formula \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse.
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