Comparing Base and Height Pairs in Triangles
Comparing Base and Height Pairs in Triangles
Explore what happens to the area of a triangle when different sides are chosen as the base.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Question ouverte 1
The triangle area should be the same no matter which side is chosen as the base. Can you create a triangle where the area calculations differ when different bases are chosen? Why do you think this happens?
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Question ouverte 2
The base of a triangular garden is 10 yards long, and the height is of the base. What is the area of the garden?
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Question ouverte 3
One leg of an isosceles right triangle measures 18 cm. Calculate its area.
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Question ouverte 4
If you know the area of a triangle and the length of its base, how can you calculate its height? Explain your method and use it to calculate the height of an obtuse triangle with a base of 20 cm and an area of 400 square centimeters.
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Question ouverte 5
The pace car at an F1 race has a triangular warning sign drawn inside a rectangular plate. The warning sign has the same base and height as the plate. If the plate measures 40 cm by 40 cm, what is the area of the plate? What is the area of the warning sign? Compare the two areas. What do you notice?
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