Pythagorean Theorem Triangle Word Problems Easy Worksheet
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Pythagorean Theorem
Converse Of Pythagorean Theorem
Applications Of Pythagorean Theorem
More Geometry Lessons
How To Solve Word Problems Using The Pythagorean Theorem?
- Determine whether the word problem tin be modeled by a right triangle.
- Use the Pythagorean Theorem to find the missing side if you are given two sides.
Case:
Shane marched 3 m eastward and half dozen grand north. How far is he from his starting point?
Solution:
First, sketch the scenario. The path taken by Shane forms a correct-angled triangle. The distance from the starting betoken forms the hypotenuse.
x = 
= six.71 m
Case:
The rectangle PQRS represents the floor of a room.
Ivan stands at point A. Calculate the distance of Ivan from
a) the corner R of the room
b) the corner S of the room
Solution:
a) AR = 
= 4.47 m
Ivan is 4.47 g from the corner R of the room.
b) AS = 
= 10.77 m
Ivan is ten.77m from the corner Due south of the room.
Instance:
In the post-obit diagram of a circle, O is the centre and the radius is 12 cm. AB and EF are directly lines.
Find the length of EF if the length of OP is six cm.
Solution:
OE is the radius of the circle, which is 12 cm
OPtwo + PE2 = OE2
62 + PE2 = 12two
PE = 
EF = 2 × PE = 20.78 cm
Examples Of Real Life Pythagorean Theorem Discussion Issues
Problem ane: A 35-foot ladder is leaning against the side of a building and is positioned such that the base of operations of the ladder is 21 feet from the base of the building. How far higher up the ground is the point where the ladder touches the building?
- Bear witness Video Lesson
Trouble two: The main mast of a angling boat is supported by a sturdy rope that extends from the pinnacle of the mast to the deck. If the mast is 20 feet tall and the rope attached to the deck fifteen feet away from the base of operations of the mast, how long is the rope?
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Trouble three: If an equilateral triangle has a height of 8, find the length of each side.
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Trouble 4: Ii cyclist showtime from the aforementioned location. Ane cyclist travels due north and the other due east, at the same speed. Detect the speed of each in miles per hour if after ii hours they are 17sqrt(2) miles autonomously.
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Trouble 5: Ii cars start from the same intersection with one traveling southbound while the other travels eastbound going x mph faster. If after two hours they are 10sqrt(34) autonomously, how fast was each car traveling?
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Problem 6: A rug measures 7 feet long and has a diagonal measurement of sqrt(74) feet. Find the width of the carpet.
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Trouble 7: Jim and Eileen decided to take a curt cutting through the woods to go to their friend'southward business firm. When they went dwelling they decided to take the long mode around the woods to avoid getting muddy shoes. What full altitude did they walk to and from their friend'southward firm? Dimensions are in meters.
Problem 8: Shari went to a level field to fly a kite. She let out all 650 feet of the string and tied it to a stake. So, she walked out on the field until she was straight under the kite, which was 600 anxiety from the stake. How high was the kite from the ground?
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Attempt the free Mathway calculator and problem solver beneath to exercise various math topics. Effort the given examples, or type in your own problem and bank check your reply with the step-by-pace explanations.
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