
Home > PC3 > Chapter 1 > Lesson 1.3.1 > Problem 1-117
1-117.
Use the Pythagorean Theorem and the diagrams below to answer the following questions.
The square at right has sides of length
. What is the length of the diagonal in terms of ? Use exact values. Use the Pythagorean Theorem.
n² + n² = d²
Solve for d.What is the measure of the angle labeled
? What do you know about the interior angles of squares?
The triangle at right is equilateral with each with sides of length
. What is the height in terms of ? Use exact values. The base is made into two equal parts by k
Use the Pythagorean Theorem to write an equation and solve for k.What is the measure of the angle labeled
? What do you know about the interior angles of an equilateral triangle?