Missing Side Lengths
Learning Goal
The Pythagorean Theorem
Visual 1: Two right triangles are given.
Question 1: Use the Visual to...
Find the missing side length of each right triangle.
Hint: Use the Pythagorean Theorem.
Question 1: Check your answer.
Visual 2: Two right triangles are given.
Question 2: Use the Visual to...
Find the missing side length of each right triangle.
What is different about these triangles compared to the triangles in Question 1? How does this difference change the math process?
Hint: Use the Pythagorean Theorem.
Question 2: Check your answer.
Visual 3: Two right triangles are given.
Question 3: Use the Visual to...
Find the missing side lengths of each right triangle.
How can you tell which side lengths are a, b, and c?
Hint: Use the Pythagorean Theorem.
Question 3: Check your answer.
Visual 4: Two triangles are given.
Question 4: Use the Visual to...
Think about it. Could you use the Pythagorean Theorem to find the missing sides of these two triangles? Why or why not? Hint: Notice what is different about these two triangles compared to the triangles from the previous questions.
Question 4: Check your answer.
Visual 5: Click and drag the points to explore relationships between the sides of the triangle and the areas of the squares.
Question 5: Use the Visual to...
Determine if each triangle follows the Pythagorean Theorem (or not), and find the angle measurements.
If a triangle follows the Pythagorean Theorem, what does it have?
How can you tell if a triangle is a right triangle (or not) without looking at it?