Pythagorean Theorem Questions And Answers 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 Intro to the Pythagorean theorem Pythagorean theorem example
Problem 1 Find the value of latex x latex in the right triangle 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 Example 1 Find the length of the missing side In this example we need to find the hypotenuse longest side of a right triangle So using pythagoras the sum of the two smaller squares is equal to the square of the hypotenuse This gives us 4 2 6 2 2
Pythagorean Theorem Questions And Answers
Pythagorean Theorem Questions And Answers
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Practice Questions and Answers Pythagorean Theorem 2 Practice Questions and Answers Topics include Pythagorean Triples Word Problems radicals distance rate geometry applications perimeter and more Mathplane Practice Questions ANSWERS Thanks for visiting Hope it helps Click here for Questions Click here for Answers The Corbettmaths Practice Questions on Pythagoras
Problem 1 Find the value of x in the triangle shown below 3 x 4 Choose 1 answer x 5 A x 5 x 7 B x 7 x 7 C x 7 x 25 D x 25 Want more Pythagorean theorem practice Check out this exercise Questions Tips Thanks Sort by Top Voted Quiz 1 Quiz 1 Pythagorean theorem Math Geometry all content Pythagorean theorem Learn for free about math art computer programming economics physics chemistry biology medicine finance history and more Khan Academy is a nonprofit with the mission of providing a free world class education for anyone anywhere
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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 A simple equation Pythagorean Theorem states that the square of the hypotenuse the side opposite to the right angle triangle is equal to the sum of the other two sides Following is how the Pythagorean equation is written a b c
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 Question 1 In a right angled triangle the measures of the perpendicular sides are 6 cm and 11 cm Find the length of the third side 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
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Pythagorean Theorem Questions And Answers - Determine the length of BC Problem 5 Given a right triangle ABC displaystyle angle C 90 circ C 90 in which AC 8 BC 15 Determine the length of AB Problem 6 A company must stretch a cable from the top of a tower that is 25 meters high to a point 50 meters away from the base of the tower Calculate the length of the cable