Pythagoras Theorem Questions With Answers Click here for Answers The Corbettmaths Practice Questions on Pythagoras
Pythagoras theorem states that in a right triangle or right angled triangle the sum of the squares of the two smaller sides of the triangle is equal to the square of the hypotenuse In other words a 2 b 2 c 2 where c is the hypotenuse the longest side and a and b are the other sides of the right triangle What does this mean Solution Let ABC be the triangle right angled at B such that AB and BC are the perpendicular sides Let AB 6 cm and BC 11 cm Then by the Pythagoras theorem AC 2 AB 2 BC 2 begin array l Rightarrow AC sqrt AB 2 BC 2 sqrt 6 2 11 2 end array begin array l sqrt 36 121 sqrt 157 end array
Pythagoras Theorem Questions With Answers
Pythagoras Theorem Questions With Answers
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48 Pythagorean Theorem Worksheet With Answers Word PDF
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40 Geometry Pythagorean Theorem Worksheet Answers Worksheet Live
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Answer Problem 3 Find the value of latex x latex in the right triangle Answer Problem 4 The legs of a right triangle are latex 5 latex and latex 12 latex What is the length of the hypotenuse Answer Problem 5 The leg of a right triangle is latex 8 latex and its hypotenuse is latex 17 latex Practice Use Pythagorean theorem to find isosceles triangle side lengths Practice Right triangle side lengths Practice Use area of squares to visualize Pythagorean theorem Practice
Pythagorean Theorem where a and b are lengths of the legs of a fight triangle and c is the length of the hypotenuse sum of the squares of the legs is equal to the square of the hypotenuse Example 49 65 c fight triangle acute triangle obtuse triangle AV Identifying triangles by their sides a a a Distance Formula mustrates Pythagorean Theor Pythagorean theorem The equation for the Pythagorean theorem is a 2 b 2 c 2 where a and b are the lengths of the two legs of the triangle and c is the length of the hypotenuse How can I tell which side is the hypotenuse
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Pythagoras Theorem Worksheet Pdf
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Pythagoras Theorem Worksheet With Answers
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Includes reasoning and applied questions DOWNLOAD FREE Pythagoras theorem examples Example 1 finding the length of the hypotenuse finding the length of the longest side Find xx and give your answer to 22 decimal places Label the sides of the triangle It is called Pythagoras Theorem and can be written in one short equation a 2 b 2 c 2 Note c is the longest side of the triangle a and b are the other two sides Definition The longest side of the triangle is called the hypotenuse so the formal definition is
Try to answer every question Check your answers if you have time at the end 1 PQR is a right angled triangle PQ 16 cm PR 8 cm Calculate the length of QR Give your answer correct to 2 decimal places cm 3 marks 2 X 3 2 cm Y 1 7 cm Diagram NOT accurately drawn Z XYZ is a right angled triangle Pythagorean theorem word problems Google Classroom You might need Calculator Steve is turning half of his backyard into a chicken pen His backyard is a 24 meter by 45 meter rectangle He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner
48 Pythagorean Theorem Worksheet With Answers Word PDF
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Pythagorean Theorem Worksheet Answers
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Pythagoras Theorem Questions With Answers - The Pythagorean Theorem states that the square of the longest side of a right triangle called the hypotenuse is equal to the sum of the squares of the other two sides Pythagorean Theorem formula shown with triangle ABC ABC is a 2 b 2 c 2 a2 b2 c2 Side c c is known as the hypotenuse The hypotenuse is the longest side of a right triangle