Understanding the Area of a Triangle

This video tutorial explains how to find the area of a triangle using the formula 1/2 base times height. It covers three types of triangles: right, acute, and obtuse, providing examples for each. The tutorial emphasizes understanding the role of the base and height (or altitude) in the formula and how to apply it to different triangle types. It also mentions an alternative method for cases where the altitude is not available.

What is the basic formula for finding the area of a triangle?

• Base minus height

• Base times height

• Base plus height

• Base divided by height

In a right triangle, what can be used as the height?

• Any side

• The base

• The hypotenuse

• The side opposite the right angle

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CCSS.6.G.A.1

How do you calculate the area of a right triangle with a base of 4 inches and a height of 3 inches?

• 12 square inches

• 8 square inches

• 24 square inches

• 6 square inches

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CCSS.4.G.A.2

What is a characteristic of an acute triangle?

• All angles are greater than 90 degrees

• All angles are less than 90 degrees

• It has one obtuse angle

• It has one right angle

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CCSS.6.G.A.1

If an acute triangle has a base of 5 and a height of 8, what is its area?

• 10 square inches

• 40 square inches

• 30 square inches

• 20 square inches

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CCSS.HSG.CO.C.10

In an obtuse triangle, where is the altitude drawn?

• On the hypotenuse

• Outside the triangle

• Inside the triangle

• On the base

Tags

CCSS.6.G.A.1

For an obtuse triangle with a base of 6 and a height of 5, what is the area?

• 15 square inches

• 30 square inches

• 20 square inches

• 25 square inches

What should you do if the altitude of an obtuse triangle is outside the triangle?

• Use the extended base

• Ignore the altitude

• Use the longest side

• Use the hypotenuse

Tags

CCSS.HSG.CO.C.10

Which type of triangle has an altitude that can be inside or outside the triangle?

• Right triangle

• Acute triangle

• Obtuse triangle

• Equilateral triangle

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CCSS.6.G.A.1

What is the area of a triangle with a base of 6 and a height of 5?

• 20 square inches

• 25 square inches

• 30 square inches

• 15 square inches

Tags

CCSS.6.G.A.1