Finding Missing Sides - Grade 12 Geometry
This worksheet focuses on finding missing sides in various geometric figures using advanced theorems and properties relevant to Grade 12 geometry.
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Finding Missing Sides - Grade 12 Geometry
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Read each question carefully and solve for the missing side(s). Show all your work for full credit. Round answers to two decimal places where necessary.
1. Find the length of the hypotenuse 'c' in a right-angled triangle with legs a = 8 cm and b = 15 cm.
2. In a right-angled triangle, if one angle is 30 degrees and the adjacent side is 10 units, find the length of the opposite side.
3. In triangle ABC, angle A = 45°, angle B = 60°, and side a = 12 cm. Find the length of side b.
4. In triangle XYZ, side x = 7 cm, side y = 10 cm, and the angle Z = 80°. Find the length of side z.
5. A ladder 13 meters long is leaning against a wall. If the base of the ladder is 5 meters from the wall, how high up the wall does the ladder reach?
8 meters
10 meters
12 meters
14 meters
6. A triangle has sides of length 9 cm and 12 cm, and the angle between them is 50°. Find the length of the third side.