Understanding the Pythagorean Theorem

Solve each of these problems.

Question 1

Short answer

A right triangle has one leg that measures 6 units and a hypotenuse that measures 10 units. What is the length of the other leg?

Question 2

Short answer

If a right triangle has legs of lengths 8 units and 15 units, what is the length of the hypotenuse?

Question 3

Short answer

The lengths of the legs of a right triangle are represented by x and y, and the length of the hypotenuse is represented by z. Write the Pythagorean Theorem using these variables.

Question 4

Short answer

A ladder is leaning against a wall, reaching a height of 12 feet. If the base of the ladder is 5 feet away from the wall, how long is the ladder?

Teach with AI superpowers

Why teachers love Class Companion

Import assignments to get started in no time.

Create your own rubric to customize the AI feedback to your liking.

Overrule the AI feedback if a student disputes.

Other Math Assignments

1. Analyzing Graphs and Equations7.4 Constructed Response7th Unit 1 Section A Checkpoint7th Unit 1 Section B Checkpoint 7th Unit 1 Test Written Response 7th Unit 2 Test Written Response 7th Unit 3 Section A Checkpoint 7th Unit 3 Section B Checkpoint 7th Unit 3 Test Written Response 7th Unit 4 Test Written Response 7th Unit 5 Section A Checkpoint 7th Unit 5 Section B Checkpoint7th Unit 5 Section C Checkpoint 7th Unit 5 Test Written Response7th Unit 6 Test Written Response 7th Unit 7 Section a Checkpoint7th Unit 7 Section B Checkpoint 7th Unit 7 Section C Checkpoint7th Unit 8 Test Written Response 8th Unit 1 Section A checkpoint8th Unit 1 Section C Checkpoint 8th Unit 1 Section D Checkpoint8th Unit 2 Section A Checkpoint8th Unit 2 Section B Checkpoint 8th Unit 2 Test Written Response 8th Unit 3 Test Written Response Analysis of the Mathematical Exploration Process in the IB Internal AssessmentConverting Fractions to PercentsDivision Practice AssignmentEvaluating Expressions with ParenthesesExploring Similar Triangles and SlopeExploring Simple Circuits - Grade 4IA-Second RevisionLesson 4.2 Reasoning Task-On Your Own #15Lesson 4.3 Reasoning Task-On Your Own #12Mathematics Functions and Financial PlanningMath Poster Project Reflection SheetMath short answerMath Short Answer #2Module 13 Assessment CRModule 5 Assessment CRMulti-Digit Whole Number OperationsMulti-Step Real-Life and Mathematical Problems with Rational NumbersPrevious Progress in your IAPruebaSolving One Step EquationsSolving One-Step Equations with Fractions and DecimalsUnderstanding Credit Cards: Net Income, APR, and Payment StrategiesUnderstanding Percent Increase and Decrease