Page 360 - Basic College Mathematics with Early Integers

S E C T I O N 4.6 I SQUARE ROOTS AND THE PYTHAGOREAN THEOREM 337

Objective Find the unknown length in each right triangle. If necessary, approximate the length to the nearest
thousandth. See Examples 6 through 8.

29. 30. 31.
? ? 15 ft
5 in.
12 cm
36 ft 10 cm
12 in.

?

32. 9 yd 33. 22 m 34. 70 mi
3 yd 34 mi

? 48 m
?
?

35. 36. ?
?
27 km
108 mm 36 km
45 mm

Sketch each right triangle and find the length of the side not given. If necessary, approximate the length to the nearest
thousandth. (Each length is in units.) See Examples 6 through 8.

37. leg = 3, leg = 4 38. leg = 9, leg = 12 39. leg = 5, hypotenuse = 13

40. leg = 6, hypotenuse = 10 41. leg = 10, leg = 14 42. leg = 2, leg = 16

43. leg = 35, leg = 28 44. leg = 30, leg = 15 45. leg = 30, leg = 30

46. leg = 21, leg = 21 47. hypotenuse = 2, leg = 1 48. hypotenuse = 9, leg = 8

49. leg = 7.5, leg = 4 50. leg = 12, leg = 22.5

Solve. See Example 9.

51. A standard city block is a square with each side 52. A section of land is a square with each side
measuring 100 yards. Find the length of the diagonal measuring 1 mile. Find the length of the diagonal of
of a city block to the nearest hundredth yard. the section of land to the nearest thousandth mile.