Finding Missing Sides in Right Triangles
A Grade 10 math worksheet focusing on applying the Pythagorean theorem and trigonometric ratios to find missing side lengths in right triangles.
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Finding Missing Sides in Right Triangles
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Read each question carefully and show all your work. Use the Pythagorean theorem or trigonometric ratios (sine, cosine, tangent) to find the missing side lengths in the right triangles. Round your answers to two decimal places where necessary.
1. Find the length of the hypotenuse (c) in the right triangle below.
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Answer:
2. A ladder 13 feet long is leaning against a wall. If the base of the ladder is 5 feet from the wall, how high up the wall does the ladder reach?
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Answer:
3. Find the length of side 'x' in the right triangle below. (Round to two decimal places)
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Answer:
4. Find the length of side 'y' in the right triangle below. (Round to two decimal places)
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Answer:
5. A flagpole casts a shadow 20 meters long when the angle of elevation to the sun is 60°. How tall is the flagpole? (Round to two decimal places)
Show your work:
Answer:
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