The Pythagorean Theorem Answer Key K 12 p0W1y29 yK qu BtaE ZSMoyf0t swNaxr 0eF 2L 7LiCR 1 S RAulMl6 yrki ZgPh HtZss 2r0e vs Ze zrQvxe vd P U u JMfa odNeC lw 7i6tHhe gI EnqfziInsi rt 8eC cP Or Te L yA Dllg 0eVbhrMaT k Worksheet by Kuta Software LLC
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 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 Pythagorean Triples Generating Pythagorean Triples Here are eight 8 Pythagorean Theorem problems for you to solve
The Pythagorean Theorem Answer Key
The Pythagorean Theorem Answer Key
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Pythagorean Theorem Worksheet Answer Key
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Course 3 Chapter 5 Triangles And The Pythagorean Theorem Answer Key
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To arrive at this answer we apply the Pythagorean theorem Recall the formula a b c where a and b are the legs and c is the hypotenuse In our case a b so the formula reads 2a c Solving for a we get a c 2 Plugging in c 10 we get the final answer a 10 2 7 07 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 A 2 B 2 C 2 6 2 8 2 X 2
Key Vocabulary theorem p 236 legs p 238 hypotenuse p 238 Pythagorean Theorem p 238 Study Tip In a right triangle the legs are the shorter sides and the hypotenuse is always the longest side EXAMPLE 1 Finding the Length of a Hypotenuse Find the length of the hypotenuse of the triangle a 2 b 2 c 2 Write the Pythagorean Theorem 52 The Pythagorean theorem is a cornerstone of math that helps us find the missing side length of a right triangle In a right triangle with sides A B and hypotenuse C the theorem states that A B C The hypotenuse is the longest side opposite the right angle Created by Sal Khan Questions Tips Thanks Want to join the conversation
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48 Pythagorean Theorem Worksheet With Answers Word PDF
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Solved Pythagorean Theorem Sheet2 Determine The Missing Chegg
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48 Pythagorean Theorem Worksheet With Answers Word PDF
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Find the missing side of each triangle Leave your answers in simplest radical form 5 x 13 yd 15 yd 2 14 yd 6 8 km x 16 km 8 3 km Find the missing side of each right triangle Side c is the hypotenuse Sides a and b are the legs Leave your answers in simplest radical form 7 a 11 m c 15 m 2 26 m 8 b 6 yd c 4 yd 10 yd 1 ANSWER KEY 48 14 x x 8 16 10 6 x 1 2 3 4 5 6 Pythagorean Theorem Basic Answer x 12 Answer x 20 Answer x 12 Answer x 8 Answer x 6 10 8 x 32 24 x
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 The Pythagorean Theorem says that a2 b2 c2 a 2 b 2 c 2 In this example the legs are known Substitute 4 for a and 3 for b 3 for a and 4 for b works equally well into the Pythagorean equation 42 32 c2 4 2 3 2 c 2 3 Solve the Equation 42 32 c2 16 9 c2 25 c2 5 c The Pythagorean equation
Pythagorean Theorem Worksheet Answer Key
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Pythagorean Theorem Worksheet Answers
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The Pythagorean Theorem Answer Key - To arrive at this answer we apply the Pythagorean theorem Recall the formula a b c where a and b are the legs and c is the hypotenuse In our case a b so the formula reads 2a c Solving for a we get a c 2 Plugging in c 10 we get the final answer a 10 2 7 07