Finding the Area of a Triangle Using Trigonometry
Finding the Area of a Triangle Using Trigonometry
Explore how the area of a triangle relates to two side lengths and the sine of their included angle.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Question ouverte 1
Two sides of a triangular paddock measure 20 and 15 yards, and the angle between them is 45°. Find the area of the paddock.
Entrée de texte et de données mathématiques
Question ouverte 2
Two sides of a triangular paddock measure 20 and 15 yards, and the sine of the angle between them is 4/5. Without calculating the area, can you determine which paddock has the greater area: this one or the one in the previous problem? Verify your conjecture by calculating the area of this paddock.
Entrée de texte et de données mathématiques