You can also use the
Problem 4 Using the Length of One Side
Algebra What is the value of d in simplest radical form?
| Think | Write |
|---|---|
| In a
|
|
| Divide each side by
|
|
| The value of d is not in simplest radical form because there is a radical in the denominator. Multiply d by a form of 1. |
|
✓ Got It?
- In Problem 4, what is the value of f in simplest radical form?
Problem 5 Applying the
30
°
-
60
°
-
90
°
30 degrees minus 60 degrees minus 90 degrees Triangle Theorem
Jewelry Making An artisan makes pendants in the shape of equilateral triangles. The height of each pendant is 18 mm. What is the length s of each side of a pendant to the nearest tenth of a millimeter?
Plan
How does knowing the shape of the pendants help?
Since the triangle is equilateral, you know that an altitude divides the triangle into two congruent
The hypotenuse of each
Each side of a pendant is about 20.8 mm long.
✓ Got It?
- Suppose the sides of a pendant are 18 mm long. What is the height of the pendant to the nearest tenth of a millimeter?
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs