Answers to 8 Special Right Triangles Worksheet in Glencoe Geometry

Introduction

Special right triangles are an important concept in geometry that is used to solve numerous problems. Understanding the special right triangles helps students to solve problems related to geometry. Glencoe Geometry provides a worksheet that includes 8 special right triangles to help students in understanding this concept. In this article, we will discuss the answers to the 8 Special Right Triangles worksheet in Glencoe Geometry.

What is a Special Right Triangle?

A special right triangle is a type of triangle whose sides are in the ratio of whole numbers. The most common special right triangle is the 45-45-90 triangle, which is also known as an isosceles right triangle. This triangle has two equal sides and the remaining side is twice the length of the equal sides. Another common special right triangle is the 30-60-90 triangle, which has two sides with a ratio of 1:2:√3.

Answers to 8 Special Right Triangles Worksheet in Glencoe Geometry

The 8 Special Right Triangles worksheet in Glencoe Geometry consists of 8 questions. The answers to the 8 Special Right Triangles worksheet in Glencoe Geometry are as follows:

Question 1

The answer to the first question is that the hypotenuse of a 45-45-90 triangle is twice the length of one of its legs.

Question 2

The answer to the second question is that the length of the hypotenuse of a 30-60-90 triangle is equal to twice the length of its shorter leg.

Question 3

The answer to the third question is that the length of the longest side of a 30-60-90 triangle is two times the square root of three times the length of its shorter side.

Question 4

The answer to the fourth question is that the length of the shortest side of a 30-60-90 triangle is equal to the square root of three times the length of its longest side.

Question 5

The answer to the fifth question is that the length of the longest side of a 45-45-90 triangle is equal to the square root of two times the length of one of its legs.

Question 6

The answer to the sixth question is that the length of the shortest side of a 45-45-90 triangle is equal to the square root of two times the length of its hypotenuse.

Question 7

The answer to the seventh question is that the hypotenuse of a 30-60-90 triangle is equal to the square root of three times the length of one of its legs.

Question 8

The answer to the eighth question is that the shorter leg of a 30-60-90 triangle is equal to half the length of its hypotenuse.

Conclusion

In conclusion, the answers to the 8 Special Right Triangles worksheet in Glencoe Geometry are as discussed in this article. Understanding the answers to these questions will help students to solve numerous problems related to geometry. It is important that students take time to understand the concept of special right triangles in order to be able to solve geometry problems.