Problem 1 Finding the Area of a Triangle
Gridded Response What is the area of
Plan
Can you use the area formula (previous page)?
You need two sides and the included angle—which is what you have here.
In
The area is about
✓ Got It?
- A triangle has sides of 12 in. and 15 in. The measure of the angle between them is
The relationship
Take Note Theorem: Law of Sines
In any triangle, the ratio of the sine of each angle to its opposite side is constant. In particular, for
You can use the Law of Sines to find missing measures of any triangle when you know the measures of
- two angles and any side
- two sides and an obtuse angle opposite one of them, or
- two sides and an acute angle opposite one of them, where the length of the side opposite the known acute angle is greater than or equal to the length of the remaining known side.
In Problem 2, you know the measures of two angles and a side (AAS). In Problem 3, you know the measures of two sides and an obtuse angle opposite one of them (SSA with A obtuse).
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions