Curated OER
Altitude to the Hypotenuse
Can your class solve right triangles and identify the properties common to right triangles? They will investigate and state the relationship between the altitude to the hypotenuse and the two segments of the hypotenuse formed by the...
EngageNY
Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles
Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...
Mathematics Vision Project
Similarity and Right Triangle Trigonometry
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
Corbett Maths
3D Pythagoras
Calculate one hypotenuse then repeat. The resource provides a variety of ways for finding the length of the diagonal in a prism. Using the Pythagorean Theorem, pupils find a variety of distances in 3-D figures. The distances range from...
Curated OER
Right Triangles
In this right triangles worksheet, 10th graders solve 10 different problems that include determining the means proportionally in each right triangle. First, they use the given information to determine the measure of each line segment....
Curated OER
Geometric Mean and the Pythagorean Theorem
In this geometric mean and Pythagorean Theorem activity, 10th graders solve 9 problems related to determining the geometric mean by applying the Pythagorean Theorem in each problem. First, they find the geometric mean between each pair...
Curated OER
Geometry Worksheet: Right Triangle
In this geometry worksheet, 10th graders apply their knowledge of altitudes and geometric mean to solve the right triangle in order to find the length of the hypotenuse. The one page worksheet contains one problem. Answers...
Curated OER
Math Lesson Plan #2: Real Life Problems
Tenth graders solve problems using the tangent of angles using the flagpole and its shadow as references.
Curated OER
Understanding Fundamental Trigonometric Identities
Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...
Curated OER
THE MEAN INDEX CARD
Middle schoolers cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...
Curated OER
The Theorem of Pythogoras
In this geometry worksheet, learners solve right angle triangles using the Pythagorean Theorem. They calculate the area and sides of triangles and circles. There are 52 questions total.
Curated OER
The Geometry of Means
In this geometry worksheet, students are given a rectangle and a square. They verify ratios when given equal perimeters or areas. Students are given adjacent squares. They find the distance between the centers, and identify the means...
Curated OER
The Geometry of Solids
In this solids worksheet, learners compute the volume of prisms, cylinders, pyramids, spheres and cones. This seven-page worksheet contains approximately 68 problems.
Curated OER
Trigonometry Applications
In this geometry worksheet, 10th graders solve application word problems involving the use or right triangle trigonometry, including angle of elevation or depression. The one page interactive worksheet contains five questions. Hints,...
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.