RIGHT TRIANGLE REVIEW



RIGHT TRIANGLE REVIEW

1. A triangle has sides of 10 cm, 15 cm and 17 cm. Is it acute, obtuse, or right? Prove it.

2. A triangle has legs of 28 inches and 47 inches. Find the approximate length of the hypotenuse. Round to the nearest tenths.

3. In ΔPQR, Q = 90˚, PR = 20 cm and PQ = 15 cm.

Find QR in simplest radical form.

4. A rectangular box is 20” wide, 30” long and 8” high. Find the approximate length of the spatial diagonal (longest distance inside the box). Round to the nearest tenths.

5. A boat drops an anchor with a 200-ft chain. The lake is 80 feet deep. Approximately, how far can the boat drift in any one direction? Round to the nearest tenths.

6. An equilateral triangle has a perimeter of 165 cm.

Find the height of the triangle in simplest radical form.

7. A square has a diagonal that is 130 feet long.

Find the perimeter of the square in simplest radical form.

8. In ΔWXT, T = 90˚, W = 17˚ and XW = 5.2 yards. Find WT.

Round to the nearest tenths.

9. In ΔABC, A = 90˚, AC = 17.4 cm and BC = 18.5 cm. Find angle B.

Round to the nearest whole degree.

10. You are standing and facing the 555-foot Washington Monument. The angle of elevation from your feet to the top of the monument is 20˚. If you walk 300 feet closer to the monument, what is the angle of elevation? Round to the nearest whole degree.

11. Jon and Paul, leave their home and go in different directions. Jon goes 15 miles north and then 17 miles west. Paul goes 30 miles south and then 10.5 miles east. At this point, approximately how far apart are Jon and Paul?

12. Find sin 60˚ in simplest radical form.

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