Right-Angled Triangles with Exact Values (Year 10)
Free printable UK Year 10 (GCSE Foundation) maths worksheet: use exact trigonometric values to find a missing side of a right-angled triangle, giving surd answers exactly.
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Grade 9 · Math worksheet
Name
Date
Math
Right-Angled Triangles with Exact Values
Use the exact trigonometric values (never a calculator decimal) to find a missing side of a right-angled triangle, giving surd answers exactly.
- 1.A right-angled triangle has hypotenuse 12 cm and one angle of 60°. Find the side ADJACENT to the 60° angle, giving your answer as an exact value.
- 2.A right-angled triangle has hypotenuse 14 cm and one angle of 30°. Find the side OPPOSITE the 30° angle, giving your answer as an exact value.
- 3.A right-angled triangle has hypotenuse 6 cm and one angle of 60°. Find the side OPPOSITE the 60° angle, giving your answer as an exact value.
- 4.A right-angled triangle has hypotenuse 16 cm and one angle of 30°. Find the side OPPOSITE the 30° angle, giving your answer as an exact value.
- 5.A right-angled triangle has hypotenuse 4 cm and one angle of 45°. Find the side OPPOSITE the 45° angle, giving your answer as an exact value.
- 6.A right-angled triangle has hypotenuse 4 cm and one angle of 45°. Find the side ADJACENT to the 45° angle, giving your answer as an exact value.
- 7.A right-angled triangle has hypotenuse 14 cm and one angle of 60°. Find the side OPPOSITE the 60° angle, giving your answer as an exact value.
- 8.A right-angled triangle has an angle of 30° with an adjacent side of 21 cm. Find the side OPPOSITE the 30° angle, giving your answer as an exact value.
- 9.A right-angled triangle has an angle of 60° with an adjacent side of 10 cm. Find the side OPPOSITE the 60° angle, giving your answer as an exact value.
- 10.A right-angled triangle has an angle of 45° with an adjacent side of 10 cm. Find the side OPPOSITE the 45° angle, giving your answer as an exact value.
- 11.A right-angled triangle has an angle of 30° with an adjacent side of 15 cm. Find the side OPPOSITE the 30° angle, giving your answer as an exact value.
- 12.A right-angled triangle has an angle of 45° with an adjacent side of 11 cm. Find the side OPPOSITE the 45° angle, giving your answer as an exact value.
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