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Curated OER
Calculating the Shortest Distance Between Two Points
Ninth graders calculate the distance between two points.
Curated OER
Slopes, Distances, and Map Keys
Students explore Rise and Run. In this math lesson, students use Rise and Run to find given slopes, they will use the slopes to calculate distances from point to point on graph paper.
Texas Education Agency
Texas Gateway: Similar Right Triangles: The Altitude to the Hypotenuse
The student will apply and prove the definition of similar triangles and identify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean.
Oswego City School District
Regents Exam Prep Center: Special Right Triangles
A collection of lessons, practice activities, and a teacher resource that will aid your exploration and understanding of special right triangles.
Texas Instruments
Texas Instruments: Walking the Fence Line, Then the Hypotenuse
In this activity, students use the Geoboard to determine the length of the hypotenuse of a right triangles. [Requires Adobe Reader.]
Physics Aviary
Physics Aviary: Triangle Exploration Lab
This lab is designed to have students look at some of the different relationships that exist in a right triangle. Students will be able to change the x-leg and y-leg of the triangle and then measure the angle and the hypotenuse of the...
Math Open Reference
Math Open Reference: Triangles
A complete reference guide to types of triangles and triangle perimeter and area. It provides definitions and interactive animated activities that enhance further explanation.
Texas Instruments
Texas Instruments: Proof of the Pythagorean Theorem Using Transformations
In this activity, students will explore visual proofs of the Pythagorean Theorem using area and transformations. They will use the Cabri Jr. app to perform translations on the squares constructed on the two legs and the hypotenuse of a...
Cuemath
Cuemath: Hypotenuse Leg Theorem
Explore the world of the hypotenuse leg theorem in this mini-lesson. Provides a definition, examples, and practice questions with answers that help with understanding their properties.
University of Saskatchewan (Canada)
University of Saskatchewan: Trigonometric Functions
This site examines the six trigonometric functions from a right triangle point of view. Provides information, examples, and lots of exercises for understanding.
Texas Instruments
Texas Instruments: Investigating Segments in a Right Triangle
In this activity, students review definitions of terms such as right triangle, hypotenuse, midpoint, vertices, and equidistant. They also discover an important characteristic of the midpoint of the hypotenuse.
Harvard University
University of Harvard: This Is a Stickup!
Students are taught how to make a sundial. The relationship between angles and the sides of a right triangle are explored. Great lesson plan ideas with plenty of background information. The instructional activity is adapted for grade...
Khan Academy
Khan Academy: Use Pythagorean Theorem to Find Area and Perimeter
Find the area and perimeter of triangles and quadrilaterals by first using the Pythagorean Theorem to find missing side lengths. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or...
Mangahigh
Mangahigh: Shape: Use the Pythagorean Theorem to Find the Hypotenuse
Determine the hypotenuse of a triangle with the Pythagorean theorem.
Khan Academy
Khan Academy: Use Pythagorean Theorem to Find Isosceles Triangle Side Lengths
Find the missing side lengths of isosceles triangles by using the Pythagorean Theorem. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Illustrative Mathematics
Illustrative Mathematics: G Gpe.5 Triangles Inscribed in Circle
For this task, students use ideas about linear functions to determine when certain angles are right angles. They use the fact that two lines (if not vertical or horizontal) are perpendicular when their slopes are inverse reciprocals, as...
Sophia Learning
Sophia: Triangle Congruence Theorem (Hl): Lesson 5
This lesson will present the Hypotenuse-Leg Triangle Congruence Theorem. It is 5 of 5 in the series titled "Triangle Congruence Theorem (HL)."
Math Open Reference
Math Open Reference: Hypotenuse
Learn about the hypotenuse with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Curated OER
Zona Land: Right Triangle Solver 3
A java applet that will solve a right triangle when you provide angle D and the length of the hypotenuse f.
Curated OER
Zona Land: Right Triangle Solver 5
A java applet that will solve a right triangle when you provide the lengths of side e (short side) and side f (hypotenuse).
Khan Academy
Khan Academy: Use Pythagorean Theorem to Find Right Triangle Side Lengths
Find the length of the hypotenuse or a leg of a right triangle using the Pythagorean Theorem. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Wolfram Research
Wolfram Math World: Right Triangle
This site from MathWorld.com offers extensive information on right triangles. The site contains information on numerous characteristics of right triangles, including constructing similar inscribed triangles, altitudes, Pythagorean...
Purple Math
Purplemath: Basic Trigonometric Ratios: Examples
Demonstrates how to use trig ratios to do simple solving of triangles.
Math Is Fun
Math Is Fun: Finding a Side in a Right Angled Triangle
Students learn how to find a side in a right triangle. The tutorial consists of notes, examples, and practice problems to check for comprehension.