8.6 The Pythagorean Theorem
1. Suppose a bow & arrow deer hunter is sitting up
in his tree stand, which is 10 feet above the ground.
A deer is located 30 feet from the base of the tree,
directly out from the hunter. If the hunter is using a
tracer arrow how much line will it take for the arrow
to reach the deer?
10 feet
30 feet
2. To find the answer to the question above we
must use the Pythagorean Theorem:
You're welcome
for the theorem, yo.
Pythagorus
3. The Pythagorean Theorem states that
a
b
In any right triangle with legs a and b and hypotenuse of c,
c
a2 + b2 = c2
Find the lengths of the missing sides
of the triangles below.
Pythagorean Triples: A set of 3 #'s that can be the side lengths of a right triangle.
(The largest # is always c)
Are the following numbers a Pythagorean Triple?
3, 4, 5?
How about 2, 4, 5?
Pythagorean Converse Theorem: If a triangle has sides of length a, b, c and
,then
the triangle is a right triangle!
Find the perimeter of the rhombus below if
one diagonal is 48 units and the other is 14 units.
(*Remember, diagonals are what…)
perpendicular bisectors
of each other!
Joe walks due north 10 miles, then due east 3 miles.
How far from the starting point is he? Draw a diagram that
explains the problem and then find your answer.
Find the perimeter and the area of a right triangle
with the hypotenuse of 10mm and one side 6mm long.
The infield of a baseball diamond is a square‐shaped
region 90 feet on a side. When a centerfielder throws
a ball to home plate from 100 feet behind second base,
how long is the throw?
100 feet