9.3 D1 Pythagorean Theorem

Lesson 9.3 D1 Pythagorean Theorem

​Learning Goal:

I can solve radical equations by using Pythagorean Theorem.

Multiple Choice

$$\sqrt{\ -16+10a}=a$$

• $$\left\{2,\ 8\right\}$$

• 2

• 8

• No solution

Multiple Choice

$$\sqrt{\ -4+4b}=b$$

• $$\left\{2,\ 0\right\}$$

• 2

• 8

• No solution

Multiple Choice

$$r=\sqrt{\ -2r-1}$$

• $$\left\{-1,\ 0\right\}$$

• -1

• 0

• No solution

​Pythagorean Theorem

​In any Right Triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

​Example 1a: Find the missing length of the right triangle.

​Example 1b: Find the missing length of the right triangle.

​Example 1c: Find the missing length of the right triangle.

Multiple Choice

$$Find\ the\ mis\sin g\ length,\ a=12,\ b=5,\ c=?$$

• $$c=\pm15$$

• $$c=\pm13$$

• $$c=14$$

• $$c=10$$

​Example 2a: Find the missing length of the right triangle.

​Example 2b: Find the missing length of the right triangle.

​Example 2c: Find the missing length of the right triangle.

​Example 3: Application

​A ladder is leaning against the side of a 10m house. If the base of the ladder is 3m away from the house, how tall is the ladder? Draw a diagram and show all your work.

Multiple Choice

Exit ticket.

Find the length of x.

• $$x=\pm15$$

• $$x=\pm19.4$$

• $$x=14$$

• $$x=10$$