Sewanhaka High School
Math 8
Per:________________
Name:________________________________
Mrs. Lidowsky, Principal
Mr. Long, Teacher
Date:_____________________
H.W. #70: Ditto
DO-NOW #70: Answer the following questions:
1) Find the square root of :
2) Estimate to the nearest positive whole number:
a)
225 =
b)
256 =
3) With each turn, a screw travels
230 = about
1
inch into a piece of wood. How far will the screw travel into the wood after 12 turns?
16
Topic: Geometry
Main Idea: The Pythagorean Theorem
Aim:
RECALL
NOTES
On preferably graph paper, draw two line segments
perpendicular to each other. Label the first line
segment DE and the other EF . Have them
touching at point E. Make DE 3 cm long and
EF 4 cm long. Then draw a line connecting point
D to point F. Measure DF . How long is line
segment DF ?
What type of figure did you make and why?
Lets name the sides of the right triangle.
D
c=
a=
E
Take DE and make it into a 3 x 3 square and find
its area.
Take EF and make it into a 4 x 4 square and find
its area.
Add the areas of the two previous squares.
Take DF and make it into a 5 x 5 square and find
its area.
What can I say about the legs DE and EF of right ΔDEF as
compared to the hypotenuse DF .
b=
F
Find the value of c in the following right triangle:
What if you were asked to prove the opposite or
converse of the Pythagorean Theorem. The
converse states if a triangle has side lengths, a, b,
and c units such that a2 + b2 = c2, then the triangle
is a right triangle.
Drill: Answer the following question.
Use the Pythagorean Theorem for questions 1 to 3.
1)
2)
Summary:
3) The measurements of three sides
of a triangle are 5, 6, and 7 units.
Determine whether the triangle is a
right triangle.