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Lecture 18

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University of Miami

Mathematics

MTH 108

Lun- Yi Tsai

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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