9.3 D1 Pythagorean Theorem

Presentation

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Mathematics

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9th - 12th Grade

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Practice Problem

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Medium

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CCSS

HSA.REI.A.2, 8.G.B.7

Standards-aligned

Gemma Nguyen

Used 3+ times

FREE Resource

10 Slides • 5 Questions

Lesson 9.3 D1 Pythagorean Theorem

Learning Goal:

I can solve radical equations by using Pythagorean Theorem.

Multiple Choice

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

$\left\{2,\ 8\right\}$

No solution

Multiple Choice

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

$\left\{2,\ 0\right\}$

No solution

Multiple Choice

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

$\left\{-1,\ 0\right\}$

-1

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.

$x=\pm15$

$x=\pm19.4$

$x=14$

$x=10$

Lesson 9.3 D1 Pythagorean Theorem

Learning Goal:

I can solve radical equations by using Pythagorean Theorem.

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