Worksheet 13: Pythagoras
Grade 9
Did you know that the Sharp EL-W535SAII and EL-W506T have got built a built in Pythagoras feature?
Question 1:
True or False questions. If False, correct the statement.
a) Any side of a right-angled triangle is called the hypotenuse.
b) The theorem of Pythagoras states that the sum of the areas of the two shorter sides is equal to
the area of the longest side in a right-angled triangle.
c) Pythagoras Theorem can be used for any type of triangle.
d) The hypotenuse is always opposite the 90° angle.
e) You need the lengths of two sides of a right-angled triangle in order to apply Pythagoras
Theorem.
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Question 2
Solve for the length of the missing side in the diagrams below:
a)
b)
c)
d)
Question 3
Calculate the length of BD, if AC=EC, and AE = 97,8km.
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Question 4
Thabiso ziplines off a building at the height of 124m. He lands, 100,5m away from the base of the
building. Calculate the time it took him to reach the bottom if he traveled at an average speed of 16m
per second. Round off your answer to the nearest second.
Question 5
Calculate the perimeter of a right-angled triangle, if the area is 6𝑚2 and the base of the triangle is 4𝑚.
Question 6
Classify the following triangles, by using the converse of Pythagoras. Diagrams are not drawn to
scale.
a)
b)
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c)
Question 7
Calculate the length of r.