sides? A rectangle has base length x + 3, altitude length x + 1, and diagonals of length 2x each. What are the lengths of its base, altitude, and diagonals?

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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I don't get question #23
20. A drawbridge that is 136 ft in length is raised at its midpoint
so that the uppermost points are 16 ft apart. How far has each
of the midsections been raised?
(HINT: Consider the drawing for Exercise 19.)
21. A rectangle has a width of 16 cm and a diagonal of length
20 cm. How long is the rectangle?
22. A right triangle has legs of lengths x and 2x + 2 and a
hypotenuse of length 2x + 3. What are the lengths of its
sides?
23. A rectangle has base length x + 3, altitude length x + 1,
and diagonals of length 2x each. What are the lengths of its
base, altitude, and diagonals?
24. The diagonals of a rhombus measure 6 m and 8 m. How long
are each of the congruent sides?
25. Each side of a rhombus measures 12 in. If one diagonal is
18 in. long, how long is the other diagonal?
26. An isosceles right triangle has a hypotenuse of length 10 cm.
How long is each leg?
27. Each leg of an isosceles right triangle has a length of 6 V2 in.
What is the length of the hypotenuse?
10 and BC
8. Find
28. In right AABC with right ZC, AB
CM is the midnoint of AC.
Transcribed Image Text:20. A drawbridge that is 136 ft in length is raised at its midpoint so that the uppermost points are 16 ft apart. How far has each of the midsections been raised? (HINT: Consider the drawing for Exercise 19.) 21. A rectangle has a width of 16 cm and a diagonal of length 20 cm. How long is the rectangle? 22. A right triangle has legs of lengths x and 2x + 2 and a hypotenuse of length 2x + 3. What are the lengths of its sides? 23. A rectangle has base length x + 3, altitude length x + 1, and diagonals of length 2x each. What are the lengths of its base, altitude, and diagonals? 24. The diagonals of a rhombus measure 6 m and 8 m. How long are each of the congruent sides? 25. Each side of a rhombus measures 12 in. If one diagonal is 18 in. long, how long is the other diagonal? 26. An isosceles right triangle has a hypotenuse of length 10 cm. How long is each leg? 27. Each leg of an isosceles right triangle has a length of 6 V2 in. What is the length of the hypotenuse? 10 and BC 8. Find 28. In right AABC with right ZC, AB CM is the midnoint of AC.
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