🧠 Right Triangle Trigonometry: Show Your Thinking (G-SRT.C.8)

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Use trigonometric ratios and the Pythagorean Theorem to solve right triangles. Solve each problem and show your work.

1. Hypotenuse 9, angle 70°. Opposite side = ___ (nearest tenth)

Show your work

2. Hypotenuse 14, angle 55°. Adjacent side = ___ (nearest tenth)

Show your work

3. Adjacent side 15, angle 20°. Opposite side = ___ (nearest tenth)

Show your work

4. Hypotenuse 22, angle 45°. Opposite side = ___ (nearest tenth)

Show your work

5. Hypotenuse 9, angle 45°. Adjacent side = ___ (nearest tenth)

Show your work

6. Adjacent side 18, angle 55°. Opposite side = ___ (nearest tenth)

Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) 8.5 · 2) 8.0 · 3) 5.5 · 4) 15.6 · 5) 6.4 · 6) 25.7

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Worksheets › Grade 10 Math (Geometry) › Right Triangle Trigonometry › Right Triangle Trigonometry

Grade 10 (ages 15–16)Numbers & mathsFree printable PDF

About this grade 10 worksheet

Free Grade 10 Geometry math worksheet (Common Core G-SRT.C.8): right triangle trigonometry — problems with space to show work and explain reasoning, with answer key. Skill: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles. Level: Grade 10 — also suits Year 11 (UK).

For teachers: skills & standards

CCSS G-SRT.C.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 10 (ages 15–16), but use it with any child who is ready.

What skills does it build?

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles.

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More “Right Triangle Trigonometry” printables (g-srt.c.8: use trigonometric ratios and the pythagorean theorem to solve right triangles)

Right Triangle Trigonometry: Practice A (G-SRT.C.8) · Right Triangle Trigonometry: Practice B (G-SRT.C.8) · Right Triangle Trigonometry: Mixed Practice & Reasoning (G-SRT.C.8) · Right Triangle Trigonometry: Quick Check (G-SRT.C.8)

All 5 right triangle trigonometry sheets → · Grade 10 Math (Geometry): all 10 skills → · All Common Core grades

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