Finding Missing Sides Worksheet
Grade 11 Math worksheet focusing on finding missing sides in right triangles using the Pythagorean theorem and trigonometric ratios.
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Finding Missing Sides
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Read each question carefully and find the missing side length. Round your answers to two decimal places where necessary.
1. Find the length of the hypotenuse 'c' in a right triangle with legs a = 8 cm and b = 15 cm.
2. In a right triangle, if the angle is 30° and the hypotenuse is 10 units, what is the length of the opposite side?
3. A right-angled triangle has an angle of 45° and an adjacent side of 7 units. Calculate the length of the hypotenuse.
4. From the top of a 20-meter tall building, the angle of depression to a car parked on the ground is 60°. How far is the car from the base of the building?
5. In a right triangle, the hypotenuse is 13 cm and one leg is 5 cm. What is the length of the other leg?
8 cm
10 cm
12 cm
14 cm
6. The theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
7. SOH CAH TOA is a mnemonic for remembering the trigonometric ratios: Sine = Opposite/Hypotenuse, Cosine = /Hypotenuse, and Tangent = Opposite/ .