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Lecture 18

# MTH 108 Lecture 18: 7.4 Area of a Triangle Notes Premium

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School
University of Miami
Department
Mathematics
Course
MTH 108
Professor
Lun- Yi Tsai
Semester
Fall

Description
MTH 108 Precalculus Mathematics II 7.4 Area of a Triangle Notes L. Sterling Abstract Provide a generalization to each of the key terms listed in this section. Area of a Triangle Formula K = A = 1bh 2 Parts of the Formula K : Area A : Area b : Base h : Altitude Area of a Triangle Example ▯ What would be the area of the triangle if a = 4in, c = 5in, and B = 75 ? K = 1 ac sinB 2 = 1(4)(5) sin(75 ) 2 1 = (20) sin(75 ) 2 = (10)(0:965925826) = 9:65925826 ▯ 9:66in Finding the Area of any SAS Triangles Formulas 1 K = ac sin A 2 K = 1 bc sin B 2 1 K = ab sin C 2
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