Lesson 06: Finding Side Lengths of Triangles | Unit 8: Pythagorean Theorem and Irrational Numbers

Select **all** the equations that represent the relationship between $$m$$ , $$p$$ , and $$z$$ in the right triangle.

The lengths of the three sides (in units) are given for a right triangle. For the triangle with sides 10, 6, and 8, which equation expresses the relationship between the lengths of the three sides?

The lengths of the three sides (in units) are given for a right triangle. For the triangle with sides $$\sqrt5, \sqrt3, \sqrt8$$ , which equation expresses the relationship between the lengths of the three sides?

The lengths of the three sides (in units) are given for a right triangle. For the triangle with sides 5, $$\sqrt5, \sqrt{30}$$ , which equation expresses the relationship between the lengths of the three sides?

The lengths of the three sides (in units) are given for a right triangle. For the triangle with sides 1, $$\sqrt{37}$$ , and 6, which equation expresses the relationship between the lengths of the three sides?

The lengths of the three sides (in units) are given for a right triangle. For the triangle with sides 3, $$\sqrt{2}$$ , and $$\sqrt7$$ , which equation expresses the relationship between the lengths of the three sides?

Which of the following orders the expressions from least to greatest? $$25\div 10$$ , $$250,\!000 \div 1,\!000$$ , $$2.5 \div 1,\!000$$ , $$0.025\div 1$$

For which triangle, does the Pythagorean Theorem express the relationship between the lengths of its three sides?

Select all the equations that represent the relationship between $$m$$ , $$p$$ , and $$z$$ in the right triangle shown in the image.