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Pythagorean Theorem word problems ws #1 Name, Study Guides, Projects, Research of Advanced Calculus

Lamar Institute of TechnologyAdvanced Calculus

Pythagorean Theorem word problems ws #1. Name. Solve each of the following. Please draw a picture and use the Pythagorean Theorem to solve.

Typology: Study Guides, Projects, Research

2021/2022

Uploaded on 09/12/2022

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Pythagorean๎˜ƒTheorem๎˜ƒword๎˜ƒproblems๎˜ƒws๎˜ƒ#1๎˜ƒ๎˜ƒ๎˜ƒ๎˜ƒ๎˜ƒName๎˜ƒ__________________________๎˜ƒ
Solve๎˜ƒeach๎˜ƒof๎˜ƒthe๎˜ƒfollowing.๎˜ƒ๎˜ƒPlease๎˜ƒdraw๎˜ƒa๎˜ƒpicture๎˜ƒand๎˜ƒuse๎˜ƒthe๎˜ƒPythagorean๎˜ƒTheorem๎˜ƒto๎˜ƒsolve.๎˜ƒ๎˜ƒBe๎˜ƒsure๎˜ƒto๎˜ƒlabel๎˜ƒall๎˜ƒ
answers๎˜ƒand๎˜ƒleave๎˜ƒanswers๎˜ƒin๎˜ƒexact๎˜ƒsimplified๎˜ƒform.๎˜ƒ
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1. ๎˜ƒThe๎˜ƒbottom๎˜ƒof๎˜ƒa๎˜ƒladder๎˜ƒmust๎˜ƒbe๎˜ƒplaced๎˜ƒ3๎˜ƒfeet๎˜ƒfrom๎˜ƒa๎˜ƒwall.๎˜ƒ๎˜ƒThe๎˜ƒladder๎˜ƒis๎˜ƒ12๎˜ƒfeet๎˜ƒlong.๎˜ƒ๎˜ƒHow๎˜ƒfar๎˜ƒabove๎˜ƒthe๎˜ƒground๎˜ƒ
does๎˜ƒthe๎˜ƒladder๎˜ƒtouch๎˜ƒthe๎˜ƒwall?๎˜ƒ
๎˜ƒ
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2. A๎˜ƒsoccer๎˜ƒfield๎˜ƒis๎˜ƒa๎˜ƒrectangle๎˜ƒ90๎˜ƒmeters๎˜ƒwide๎˜ƒand๎˜ƒ120๎˜ƒmeters๎˜ƒlong.๎˜ƒ๎˜ƒThe๎˜ƒcoach๎˜ƒasks๎˜ƒplayers๎˜ƒto๎˜ƒrun๎˜ƒfrom๎˜ƒone๎˜ƒcorner๎˜ƒ
to๎˜ƒthe๎˜ƒcorner๎˜ƒdiagonally๎˜ƒacross๎˜ƒthe๎˜ƒfield.๎˜ƒ๎˜ƒ๎˜ƒHow๎˜ƒfar๎˜ƒdo๎˜ƒthe๎˜ƒplayers๎˜ƒrun?๎˜ƒ
๎˜ƒ
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3. How๎˜ƒfar๎˜ƒfrom๎˜ƒthe๎˜ƒbase๎˜ƒof๎˜ƒthe๎˜ƒhouse๎˜ƒdo๎˜ƒyou๎˜ƒneed๎˜ƒto๎˜ƒplace๎˜ƒa๎˜ƒ15โ€™๎˜ƒladder๎˜ƒso๎˜ƒthat๎˜ƒit๎˜ƒexactly๎˜ƒreaches๎˜ƒthe๎˜ƒtop๎˜ƒof๎˜ƒa๎˜ƒ12โ€™๎˜ƒ
wall?๎˜ƒ
๎˜ƒ
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4. What๎˜ƒis๎˜ƒthe๎˜ƒlength๎˜ƒof๎˜ƒthe๎˜ƒdiagonal๎˜ƒof๎˜ƒa๎˜ƒ10๎˜ƒcm๎˜ƒby๎˜ƒ15๎˜ƒcm๎˜ƒrectangle?๎˜ƒ
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๎˜ƒ
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๎˜ƒ
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5. The๎˜ƒdiagonal๎˜ƒof๎˜ƒa๎˜ƒrectangle๎˜ƒis๎˜ƒ25๎˜ƒin.๎˜ƒ๎˜ƒThe๎˜ƒwidth๎˜ƒis๎˜ƒ15๎˜ƒin.๎˜ƒ๎˜ƒWhat๎˜ƒis๎˜ƒthe๎˜ƒarea๎˜ƒof๎˜ƒthe๎˜ƒrectangle?๎˜ƒ
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Download Pythagorean Theorem word problems ws #1 Name and more Study Guides, Projects, Research Advanced Calculus in PDF only on Docsity!

Pythagorean Theorem word problems ws #1 Name __________________________ Solve each of the following. Please draw a picture and use the Pythagorean Theorem to solve. Be sure to label all answers and leave answers in exact simplified form.

  1. The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?
  2. A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?
  3. How far from the base of the house do you need to place a 15โ€™ ladder so that it exactly reaches the top of a 12โ€™ wall?
  4. What is the length of the diagonal of a 10 cm by 15 cm rectangle?
  5. The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle?
  1. Two sides of a right triangle are 8โ€ and 12โ€. A. Find the the area of the triangle if 8 and 12 are legs. B. Find the area of the triangle if 8 and 12 are a leg and hypotenuse.
  2. The area of a square is 81 cm^2. Find the perimeter of the square.
  3. An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. What is the area of the triangle?
  4. A baseball diamond is a square that is 90โ€™ on each side. If a player throws the ball from 2 nd^ base to home, how far will the ball travel?
  5. Jillโ€™s front door is 42โ€ wide and 84โ€ tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door?