Basic Mathematics for College Students

An triangle has three acute angles. An triangle has one obtuse angle. A triangle has one right angle. The longest side of a rig ...

c. Name the base angles. d. Which side is opposite? e. What is the vertex angle? f. Which angle is opposite side? g. Which two a ...

State whether each of the triangles is an isosceles triangle. See Example 2. Find .See Example 3. Th ...

One angle of an isosceles triangle has a measure of 39°. What are the possible measures of the other angles? One angle of an is ...

EASELS Refer to the figure below. What type of triangle studied in this section is used in the design of the legs of the easel? ...

9.4 The Pythagorean Theorem 747 SECTION 9.4 The Pythagorean Theorem A theoremis a mathematical statement that can be proven. In ...

748 Chapter 9 An Introduction to Geometry SolutionWe will let and , and substitute into the Pythagorean equation to find. This i ...

9.4 The Pythagorean Theorem 749 EXAMPLE (^3) The lengths of two sides of a right triangle are given in the figure. Find the miss ...

750 Chapter 9 An Introduction to Geometry We must find a number that, when squared, is 32. Since represents the length of a side ...

c. What side is the shorter leg? What is the first step when solving the equation for? NOTATION Complete the solution to solve ...

c b a APPLICATIONS ADJUSTING LADDERS A 20-foot ladder reaches a window 16 feet above the ground. How far from the wall is the b ...

28 ft 45 ft PAPER AIRPLANE The figure below gives the directions for making a paper airplane from a square piece of paper with ...

One way to determine whether two triangles are congruent is to see if one triangle can be moved onto the other triangle in such ...

  We can show that the triangles shown below are congruent by the SSS property: 9.5 Congruent Triangles and Similar Triang ...

We can show that the triangles shown below are congruent by the SAS property: 756 Chapter 9 An Introduction to Geometry ASA Prop ...

9.5 Congruent Triangles and Similar Triangles 757 WHYThen we know that the two triangles are congruent by the SAS property. Solu ...

EXAMPLE (^4) Refer to the figure below. If , name the congruent angles and the sides that are proportional. PQRCDE The formal ...

It is possible to conclude that two triangles are similar without having to show that all three pairs of corresponding angles ar ...

760 Chapter 9 An Introduction to Geometry The lengths of corresponding sides of these similar triangles are proportional. Find e ...

9.5 Congruent Triangles and Similar Triangles 761 corresponding angles are congruent, it follows that the third pair of correspo ...