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WorksheetsPythagorean Theorem Test Review
Total questions: 35
Worksheet time: 18mins
The Pythagorean Theorem ONLY works on which type of triangle?
obtuse
scalene
isosceles
right
What side will always be the longest on a right triangle?
The Hypotenuse
Leg A
Leg B
The Right Angle
What is the relationship between the sides in the Pythagorean Theorem shown?
Hint: Think about when the hypotenuse is missing!
a + b = c
a2 + b2 = c2
a2 – b2 = c2
a – b = c
13, 80, and 81?
If the sides of a triangle are 7, 24, and 25, is it a right triangle?
c = 7.5
Is this a right triangle?
The diagonal length of a TV is 32 inches and the height is 17 inches. How wide is the TV?
17² + 32² = c²
a² + 32² = 17²
17² + b² = 32²
32² + 17² = c²
A 12-foot ladder is placed 5 feet from the base of a building. About how high does the ladder reach?
13 ft
10.9 ft
119 feet
Which measurement is the closest to the value of x in centimeters?
A
B
C
D
Based on the picture and your knowledge on Pythagorean Theorem, which statement is true?
The area of Section II is the same as the area of Section I and Section III combined..
The area of Section I is the same as the area of Section II and Section III combined.
The area of Section III is the same as the area of Section I and Section II combined.
The area of Section I and Section II combined is greater than the area of Section III.
The legs of a right triangle measure 5m and 12m. Calculate the length of the hypotenuse.
(a)
The hypotenuse of a right triangle measures 15 m. One of the legs measures 9 m. Calculate the length of the other leg.
(a)
Kelsey has a rectangular swimming pool that is 8 feet by 15 feet. She wants to put a rope diagonally across the pool. How long does the rope need to be?
(a)
While training, Nevin runs 12 miles north and then 5 miles east. What is the shortest distance she must travel to return to her starting point?
(a)
Which equation reflects the right triangle shown?
x2 + 142 = 202
142 + 202 = x2
142 – 202 = x2
x2 – 142 = 202
Joey drives 5 miles East of his house and then 12 miles South. The car then takes a diagonal path home. How many miles did the car drive to go back home?
7 miles
10.9 miles
13 miles
17 miles
Find the distance between these 2 points.
5.8
6.3
8.1
40
In the Pythagorean Theorem, what are the sides a and b called?
(a)
The length of the missing side is (a) .
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. How many miles did she travel on the way home from the mall? (a) miles
You need a ladder that will reach up a 25-foot-tall house when placed 10 feet away from the house. How tall does the ladder need to be?
The ladder is (a) feet tall. (round to the nearest WHOLE number)
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
The line is (a) inches long.
A 10-foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?
9 ft
11 ft
6 ft
14 ft
Leland swam from the dock east 26 meters. He then turned and swam another 10 meters. What is the value of x, the distance Leland swam to return to the dock?
36 m
24 m
4 m
16 m
Which triangle represents a right triangle?
