Area of a triangle without a height: sine formula and Heron's formula
Grade 10 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Pia's tent side is triangle FGH with FG = 13 ft and angle G = 77°. The height FD meets GH at a right angle. To the nearest tenth, how long is FD, in feet?
Ren's garden bed is triangle FGH with FG = 10 m and angle G = 33°. The height FD meets GH at a right angle. To the nearest tenth, how long is FD, in meters?
Tala's paper flag is triangle FGH with FG = 14 cm and angle G = 58°. The height FD meets GH at a right angle. To the nearest tenth, how long is FD, in centimeters?
Zee's sandwich half is triangle FGH with FG = 7 cm, GH = 12 cm, angle G = 80° and angle H = 33°. Which expression gives its area?
- ½ × 7 × 12
- ½ × 7 × 12 × sin 80°
- ½ × 7 × 12 × sin 33°
- 7 × 12 × sin 80°
Ari's pennant is triangle FGH with FG = 9 in, GH = 13 in, angle G = 70° and angle H = 40°. Which expression gives its area?
- ½ × 9 × 13 × sin 40°
- ½ × 9 × 13 × sin 70°
- 9 × 13 × sin 70°
- ½ × 9 × 13
Bo's garden bed is triangle FGH with FG = 10 ft, GH = 7 ft, angle G = 65° and angle H = 73°. Which expression gives its area?
- 10 × 7 × sin 65°
- ½ × 10 × 7 × sin 65°
- ½ × 10 × 7
- ½ × 10 × 7 × sin 73°
Esme's park lawn is triangle FGH with FG = 12 m, GH = 9 m, angle G = 35° and angle H = 97°. Which expression gives its area?
- ½ × 12 × 9 × sin 35°
- ½ × 12 × 9
- ½ × 12 × 9 × sin 97°
- 12 × 9 × sin 35°
Jun's sail is triangle FGH with FG = 9 cm and GH = 14 cm. Its height FD is 6.9 cm. To the nearest tenth, what is its area, in square centimeters?
Kira's pizza slice is triangle FGH with FG = 11 in and GH = 16 in. Its height FD is 6.8 in. To the nearest tenth, what is its area, in square inches?
Luz's tent door is triangle FGH with FG = 7 ft and GH = 12 ft. Its height FD is 6.2 ft. To the nearest tenth, what is its area, in square feet?