Name________________________________________ Activity 22: The Pythagorean Theorem
Homework
Math 8
#1-6: Find the missing length in each right triangle.
Round to the nearest tenth, if necessary.
1.
4.
2.
5.
3.
6.
7. CRITIQUE THE REASONING OF OTHERS. Marcus and Allyson are finding the missing measure of
the right triangle shown. Who is correct? Explain your reasoning.
Marcus
Allyson
c = a +b
152 = 92 + b 2
225 = 81 + b 2
144 = b 2
12 = b
2
2
2
c
c2
c2
c2
c
2
= a2 + b2
= 92 + 152
= 81 + 225
= 306
≈ 17.5
8. A painter positions a 20 foot ladder against a house so that the base of the ladder is 4 feet
from the house. About how high does the ladder reach on the side of the house?
9. A baseball diamond is a square. The distance between consecutive bases is 90 feet.
a. How far does a catcher have to throw
the ball from home plate to second
base?
b. How far does the third baseman have
to throw the ball to the first baseman?
10. Mr. Takeo is locked out of his house. The only open window is on the second floor. He
plans to borrow a ladder from his neighbor, but there is a bush along the edge of the
house, so any ladder he places will have to be 10 feet from the house. If the window is 28
feet from the ground, how long will the ladder need to be?