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Ch 37: MTLE Mathematics: Right Triangle Proofs

About This Chapter

As part of our MTLE Mathematics preparation course, the Right Triangle Proofs chapter will help you prepare for writing proofs for right triangles on your MTLE Mathematics test. Our chapters are comprised of short video lessons.

MTLE Mathematics: Right Triangle Proofs

Writing mathematical proofs can sometimes feel like a daunting process. With the help of our experienced instructors, you'll be writing right triangle proofs in no time. You can display this ability when you're taking the MTLE Mathematics exam. In this chapter, we'll be covering:

  • Hypotenuse Angle Theorem
  • Hypotenuse Leg Theorem
  • Congruency of right triangles
  • Properties of right triangles
  • Pythagorean theorem
  • The calculating of distance with the Pythagorean theorem

As you go through these lessons, you'll gain a more complete understanding of how to write proofs involving right triangles in a format that is easy to understand and structured specifically for the MTLE Mathematics exam. Our videos are easy to navigate, thanks to our video tags. They come equipped with accurate transcripts and feature self-assessment quizzes at the end of each lesson. This means you can learn at your own pace and focus on what you need to.

7 Lessons in Chapter 37: MTLE Mathematics: Right Triangle Proofs
Test your knowledge with a 30-question chapter practice test
The HA (Hypotenuse Angle) Theorem: Proof, Explanation, & Examples

1. The HA (Hypotenuse Angle) Theorem: Proof, Explanation, & Examples

In this lesson, we'll learn about the hypotenuse angle theorem. With this theorem, we can prove two right triangles are congruent with just congruent hypotenuses and acute angles.

The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples

2. The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples

In this lesson, we'll learn about the hypotenuse leg theorem. This theorem enables us to prove two right triangles are congruent based on just two sides.

Congruency of Right Triangles: Definition of LA and LL Theorems

3. Congruency of Right Triangles: Definition of LA and LL Theorems

In this lesson, we'll learn two theorems that help us prove when two right triangles are congruent to one another. The LA theorem, or leg-acute, and LL theorem, or leg-leg, are useful shortcuts for proving congruence.

Properties of Right Triangles: Theorems & Proofs

4. Properties of Right Triangles: Theorems & Proofs

In this lesson, you will learn about the properties of and theorems associated with right triangles, which have a wide range of applications in math and science. Specifically, we will discuss and prove the Pythagorean theorem and the right triangle altitude theorem. Let's get started.

Pythagorean Theorem: Definition & Example

5. Pythagorean Theorem: Definition & Example

Learn what the Pythagorean Theorem says about a right triangle and the relationships of its three sides to each other by watching this video lesson. Also learn how you can use this to your advantage when solving problems.

The Pythagorean Theorem: Converse and Special Cases

6. The Pythagorean Theorem: Converse and Special Cases

The Pythagorean Theorem is a famous theorem for right triangles. Watch this video to learn how the Pythagorean Theorem relates to the law of cosines and how the converse of the Pythagorean Theorem can help you identify right triangles.

Finding Distance with the Pythagorean Theorem

7. Finding Distance with the Pythagorean Theorem

How much faster is it to cut the corners in a race around the block? In this lesson, review the Pythagorean Theorem, and figure out how to solve without a right triangle.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the MTLE Mathematics: Practice & Study Guide course

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