1 Ch5 Lesson2 PythagoreanThm.notebook November 16, 2016

WarmUp 101515

5(3x + 8) 5 = 12x + 35 3x

Chapter 5 Lesson 2

The Pythagorean TheoremPythagorean Theorem describes the relationship between the lengths of the legs and the hypotenuse of any right triangle.

leg

leg

hypotenuse

(click here)

https://www.youtube.com/watch?v=uaj0XcLtN5c

1 Ch5 Lesson2 PythagoreanThm.notebook November 16, 2016

Pythagorean Theorem:In a right triangle, the sum of the squares of the legs equals the square of the hypotenuse.

Formula:

a2 + b2 = c2 ab

c

Examples:

1.) Write the formula for finding the missing length of the triangle below. Find the missing length. Estimate to the nearest tenth.

c in.12 in.

9 in.

2.) Solving for a missing legb m

24 m8 m

Solving for the missing hypotenuse

1 Ch5 Lesson2 PythagoreanThm.notebook November 16, 2016

Now you try...

a.)

b.)

c.)

24 yd

18 yd

c yd

3 mi

b mi8 mi

a cm17 cm

20 cm

The Converse of Pythagorean TheoremIf the measurements of a triangle fit the equation a2 + b2 = c2, then the triangle is a right triangle.

Example:3.) The measures of three sides of a triangle are 5,

12 and 13 inches. Determine whether the triangle is a right triangle.

a2 + b2 = c2

1 Ch5 Lesson2 PythagoreanThm.notebook November 16, 2016

Got it??? Determine whether each triangle with sides of given lengths is a right triangle. Show work to justify your answer.

d.) 36 mi, 48 mi, 60 mi

e.) 4 ft, 7 ft, 5 ft

remember... the longest measurement is the hypotenuse

(click here)

Homework ~page 342 (15)page 343 (19)

https://www.youtube.com/watch?v=nbopLhP4kpo

1 Ch5 Lesson2 PythagoreanThm.notebook November 16, 2016

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