PYTH

AGOREAN THEOREM

PYTHAGORAS

Proved

In a right triangle, the square of the hypotenuse is equal to the sum of the

squares of the legs.

HOMEWORK

There are many different proofs that exist that proof the Pythagorean Theorem.

Find one and know it for the Chapter 8 Test!

THE EARLY GREEKS THOUGHT OF THE PYTHAGOREAN THEOREM IN THIS FORM:

The area of the square on the hypotenuse of a right triangle equals the sum of the areas of

the squares on the legs.

Draw a diagram to illustrate that interpretation.

HTTPS://WWW.YOUTUBE.COM/WATCH?V=PVO6SZYE13Y

WHICH EQUATIONS ARE CORRECT FOR THE RIGHT TRIANGLE?

a.) d.)

b.) e.)

c.) f.)

FIND THE VALUE OF X.

FIND THE VALUE OF X.

FIND THE VALUE OF X.

FIND THE VALUE OF X.

FIND THE LENGTH OF A SIDE OF A SQUARE WITH A DIAGONAL OF LENGTH 12.

THE DIAGONALS OF A RHOMBUS HAVE LENGTHS 16 AND 30. FIND THE PERIMETER OF THE RHOMBUS.

Channing Tatum walked 2 km north, 6 km west, 4 km north, and 2 km west. If he decides to

“go straight,’ how far must he walk across the fields to his staring point?

Find the altitude (length of a segment perpendicular to both bases) of the isosceles trapezoid.

The dimensions of the rectangular box are 6, 4 and 3. Find the length

of a diagonal of the box.

CONVERSE OF

THE

PYTH

AGOREAN THEOREM

A TRIANGLE HAS SIDES OF THE GIVEN LENGTHS. IS IT ACUTE, RIGHT OR OBTUSE?

COORDINAT

E GEOMETR

Y

DISTANCE FORMULA

FIND TO THE NEAREST TENTH, THE PERIMETER OF IF

A model rocket shot up to a point 20m above the ground, hitting a smokestack, and then dropped straight down to a point 11 m from its launch site. Find, to the nearest meter, the total distance traveled from launch to touchdown.

An isosceles trapezoid ABCD,

The altitude of the trapezoid is and the upper base, , has a length of

Find:

a.) The coordinates of C and D.

b.) The length of the lower base.

c.) The length of the segment joining the midpoints of and .

d.) The length of the segment joining the midpoints of the diagonals of the trapezoid.