Pythagoras Theorem Questions And Answers Click here for Questions 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 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
Pythagoras Theorem Questions And Answers
Pythagoras Theorem Questions And Answers
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Solution If these are the sides of a right angled triangle it must satisfy the Pythagoras theorem We have to check whether 21 2 20 2 29 2 Now 21 2 20 2 441 400 841 29 2 Thus the given triangle is a right angled triangle Pythagorean Triples Answer Problem 2 Find the value of latex x latex in the right triangle 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
Math Geometry all content Unit 9 Pythagorean theorem About this unit The Pythagorean theorem describes a special relationship between the sides of a right triangle Even the ancients knew of this relationship In this topic we ll figure out how to use the Pythagorean theorem and prove why it works Pythagorean theorem Learn 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
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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 Pythagoras Example Questions Find length BC Give your answer to 1 decimal place Question 2 Work out the distance between the two points 6 2 and 4 5 Give your answer to 3 significant figures Question 3 PQR is a right angled triangle Work out the length of the missing side QR to 1 decimal place
Explain the steps involved in finding the sides of a right triangle using Pythagoras theorem Step 1 To find the unknown sides of a right triangle plug the known values in the Pythagoras theorem formula Step 2 Simplify the equation to find the unknown side Step 3 Solve the equation for the unknown side Q8 Explore some simple proofs of the Pythagorean theorem and its converse and use them to solve problems Detailed solutions to the problems are also presented
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Pythagoras Theorem Questions And Answers - Example 1 solving for the hypotenuse Use the Pythagorean theorem to determine the length of X Step 1 Identify the legs and the hypotenuse of the right triangle The legs have length 6 and 8 X is the hypotenuse because it is opposite the right angle Step 2 Substitute values into the formula remember C is the hypotenuse