Miscellaneous
Distance Formula
Pythagorean Theorem
Distance
Word Problems
100
The Pythagorean Theorem can only be used on what type of triangles?
Right
100
What is the value of x?
10
100
Find the distance between the two points.
6
100
A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?
12 ft
200
Find the distance from the Pet Store to the Drug Store, to the nearest hundredth. (Use Pythagorean theorem)
8.06
200
Use the distance formula to find the distance between these two points rounded to the nearest tenth: (3,7) and (15,12)
d = 13
200
Both legs are 6 and 20. Find the hypotenuse (round to the nearest tenth).
c = sqrt(436) = 20.9
200
Find the distance between the 2 points (nearest tenth).
sqrt82 = 9.1
200
An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?
15.5 inches
300
What is the length of the ground to the base of the ladder?
What is 5 m
300
Use the distance formula to find the distance between these two points: (-2,5) and (14,-15). Round to the nearest tenth.
d = sqrt(656) = 25.6
300
Find the missing leg, if two sides are 12 and 15.
a = 9.
300
Find the distance between (-6, -10) and (-2, -10)
what is 4
300
Ed is flying a kite with a string 25 meters long. If his friend is directly under the kite 10 m away, how high, in meters, is the kite off the ground?
22.9 meters
400
Find the length of the segment below, leave answer in most simplified radical form
what is
3 sqrt5
400
The point A has coordinates (4,−3), and the point B has coordinates (x, 2). The distance between points A and B is 5 units. Find the value of x.
x=4
400
Find the length of the third side. If necessary, write in simplest radical form
What is
2sqrt21
400
Calculate the area of the right triangle below. Leave in most simplified form.
what is 25 square units
400
A flag pole is 20ft high and cast a shadow of 5ft. What is the distance from the top of the pole to the end of the shadow?
20.6 ft
500
Points A(8, 9), B(-4, 1) and C(2, -8) form a triangle. Use the distance formula to find the perimeter of this triangle in simplest radical form.
what is
12sqrt13
500
Calculate the area of the triangle below. Leave your answer in most simplified radical form.
(3sqrt26)/2 or 1.5sqrt26
500
x =4sqrt5
500
The distance between the points (x, 2) and (6,5) is 5 units. Find BOTH possible values for x
the two possible values for x are x=2 and x=10
500
A football field is a rectangle 48 meters wide and 91 meters long. The coach asks players to run from corner to corner diagonally across the field. How far do the players run?
102.9 meters