Basics
What is the Pythagorean Theorem
a2 + b2 = c2
One leg of a right triangle is 8cm and the other leg is 12cm. What is the length of the hypotenuse. Round to the nearest tenth.
14.4cm
Fill in the blank:
If a2 + b2 = c2 then the triangle is a ____________ __________
Solve for AD in figure #5
AD =24
True or False
You can count the units/ boxes of a diagonal line on a coordinate plane
False. You can only count the units of a vertical or horizontal line on a coordinate plane
Legs and Hypotenuse
A 15ft ladder is propped up against a 10ft wall. How far away is the base of the ladder from the base of the wall? Round to the nearest tenth.
11.2ft
Is the triangle in figure #2 a right triangle?
Yes
Solve for AC in figure #6
Round to the nearest tenth
AC= 19.1
Find the distance between point A and point B in figure #8
Round to the nearest tenth
5.7
The hypotenuse is the _____________ side of a right triangle.
The hypotenuse is the LONGEST side of a right triangle.
Duncan's bedroom is rectangular. The length of one wall of Duncan's bedroom is 4 meters. The length from one corner of the bedroom to the diagonally opposite corner is 5 meters. What is the length of the other wall?
3 meters
Is the triangle in figure #3 a right triangle?
No
Solve for DC in figure #5
DC = 18
Find the distance between point B and point C in figure #8
6.7
What is the length of the hypotenuse of the triangle in figure 1?
17
Three people are sitting on the bus on their way to school. Dana is 4m directly behind Brenda and 3m to the left of Cameron. How far is Brenda from Cameron?
5m
A triangle has sides with lengths of 30 meters, 56 meters, and 65 meters. Is it a right triangle?
No
Solve for DC in figure #6
Round to the nearest tenth
DC= 14.5
Find the distance between the store and the bank in figure #9
Round the nearest tenth
15.2 miles
What is the length of one of the legs in the triangle in figure 1?
8 or 15
In Wildgrove, the library is 21 kilometers due south of the courthouse and 28 kilometers due west of the community swimming pool. What is the distance between the courthouse and the community swimming pool?
35km
Why is the triangle in figure #4 not a right triangle?
Because 2577.25 does not equal 2352.25
Round to the nearest tenth
AD = 29.6
Use figure #9 to solve
Ms. Hooper starts at her house and then takes a direct path to the the store. Then she takes the direct path from the store to the bank. From there, she drives back to her house. What is the total distance that she drives? Round to the nearest tenth
45.1 miles