Pythagorean Theorem Test Tests Quizzes Pythagorean Theorem Pythagorean Theorem Complete the test and get an award Question 1 What is the Pythagorean Theorem a2 b2 c2 c2 a2 b2 a b 2 c2 c2 a2 b2 c2 b2 a2 Question 2 Which of the listed side lengths CAN be sides of a right triangle 7 8 9 6 7 8 5 6 7 4 5 6 3 4 5 Question 3
Unit Practice Test Pythagorean Theorem Multiple Choice 85 points 5 3 points each Identify the choice that best completes the statement or answers the question Find the length of the unknown side Round your answer to the nearest tenth 25 cm 15 cm b 20 cm 400 cm 10 cm 29 2 cm Find the area of the smallest side of the right triangle 25 ft Answer Problem 7 The hypotenuse of a right triangle is latex 4 sqrt 2 latex If the longest leg is half the hypotenuse what is the length of the shortest leg Answer Problem 8 Find the value of latex x latex of the right isosceles triangle Answer You may also be interested in these related math lessons or tutorials Pythagorean Theorem
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Practice Test Pythagorean Theorem Multiple Choice 85 points 5 3 points each Identify the choice that best completes the statement or answers the question Find the length of the unknown side Round your answer to the nearest tenth 13 m 9 m b 9 4 m 88 m 15 8 m 4 m Find the area AND side length of the shortest side of the right triangle below In mathematics the Pythagorean theorem or Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle It states that the area of the square whose side is the hypotenuse the side opposite the right angle is equal to the sum of the areas of the squares on the other two sides The theorem can be written as an equation relating the lengths of
This relationship is useful because if two sides of a right triangle are known the Pythagorean theorem can be used to determine the length of the third side Referencing the above diagram if a 3 and b 4 the length of c can be determined as c a2 b2 32 42 25 5 It follows that the length of a and b can also be 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
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Here s how to use Pythagorean theorem Input the two lengths that you have into the formula For example suppose you know one leg a 4 and the hypotenuse c 8 94 We want to find the length of the other leg b After the values are put into the formula we have 4 b 8 94 Square each term to get 16 b 80 Combine like terms to get b 64 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
Test on Pythagorean Theorem Find the length of the indicated side Find the length of the diagonal of a rectangle whose sides are 6cm and 8cm Find the length of the diagonal of a square whose side is 4cm The triangle whose sides measure 7cm 8cm and 10cm is a right triangle The angle ABC is a right angle Find x using the picture at the right The Pythagorean Theorem relates the three sides in a right triangle To be specific relating the two legs and the hypotenuse the longest side The Pythagorean Theorem can be summarized in a short and compact equation as shown below Definition of Pythagorean Theorem
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Pythagorean Theorem Test - In mathematics the Pythagorean theorem or Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle It states that the area of the square whose side is the hypotenuse the side opposite the right angle is equal to the sum of the areas of the squares on the other two sides The theorem can be written as an equation relating the lengths of