MG3.3 Know and understand the Pythagorean theorem and its converse and use it find the length of the missing side of a right triangle.

3.

4.9 Day 1 Pythagorean Theorem, p205

LO: I will identify the length of any side of a right triangle using Pythagorean Theorem .

1. Classify. 2. 5x-8 translates to 8 ______ than the __________ of 5 and x.

Pythagorean Theorem a² + b² =c²

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Computer Lab Understanding Exponents Topic 6

12 cm

16 cm

c

The hypotenuse length is ____cm.

Use what you know, and simplify .

Find the principal square root.

√______= C

___² + ___² = c²

____ + ____= c²

____= c²

┐a2 + b2 = c2

a2 + b2 = c2

Use the Pythagorean Theorem to calculate the missing side of a right triangle.

A square field has sides of 25 feet. About how far is it from one corner of the field to the opposite corner of the field? Round your answer to the nearest tenth.

The diagonal line segment between the two corners is the ____________ of the _______ triangle.

Draw a diagonal from one corner to the opposite corner of the field. This divides the field into two ____ triangles.

25 ftThe ___ foot long sides of the field are sides _____, and _____.

So since we have a ________ triangle we can use the ___________ Theorem to find the missing side.

___²+ ___² = c² ____+ ____ = c² ______ = c²

_______ c

5 cm

a2 + b2 = c2

13 cm

The length of the missing leg is ___ cm.

Find the positive square root.√b² = ____

__² + b² = __²

___ + b² = ___

Use what you know, and simplify .

b

Use the Pythagorean Theorem to calculate the missing side of a right triangle.

a2 + b2 = c2

Day 1 4.9 RM & 4.9 SRp209 #31-40 even

24 cm

9 cm

a2 + b2 = c2

__2 + __2 =__2

___ + ___ = __

3 cm5 cm

x

a²+ b² = c²__²+ __² =__²

___ + __² = ___

x

A 8 foot-ladder is resting against a tree. The base of the ladder is 2.5 feet from the tree. How high up the tree will the ladder reach?

A wheelchair ramp that is constructed to rise 1 foot off the ground must extend 12 feet along the ground. How long will the ramp be? Round to the nearest tenth.

Use Pythagorean Theorem, ______________________ to determine whether the given side lengths form a right triangle.

How far is AB from C?

12

10

h

8

5

Day 2 RTGO? p210 even

Think and Discuss How could you use the Pythagorean Theorem to find a side in a right triangle if you knew the measurements of the other 2 sides?

Which side will always be the longest side in a right triangle?

15

25