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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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Grade 11 Math GeometryFinding Missing Sides
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Includes

4 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSG.SRT.C.8

Topics

mathgeometrytrigonometrypythagorean theoremright triangles
8 sections · Free to use · Printable
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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.

b = 15 cma = 8 cmc

2. In a right triangle, if the angle is 30° and the hypotenuse is 10 units, what is the length of the opposite side?

30°10AdjacentOpposite = x

3. A right-angled triangle has an angle of 45° and an adjacent side of 7 units. Calculate the length of the hypotenuse.

45°Hypotenuse = xAdjacent = 7Opposite

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?

20 mx60°

5. In a right triangle, the hypotenuse is 13 cm and one leg is 5 cm. What is the length of the other leg?

a

8 cm

b

10 cm

c

12 cm

d

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/ .

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