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Pythagorean theorem word problems for table time

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Dawniealaine

This document provides instructions and examples for solving word problems involving the Pythagorean theorem. It includes 7 word problems asking the reader to draw and label diagrams and solve for unknown distances, areas, or measurements, such as finding the height of a ladder touching a wall, the diagonal length of a rectangle, or the area of different triangles.

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Pythagorean Theorem Word Problems
Draw a diagram, label it according to the provided information and solve for the unknown. 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?
Draw a diagram, label it according to the provided information and solve for the unknown. 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?
Draw a diagram, label it according to the provided information and solve for the unknown. How far from the base of the house do you need to place a 15 foot ladder so that it exactly reaches the top of a 12 foot wall?
Draw a diagram, label it according to the provided information and solve for the unknown. What is the length of the diagonal of a 10 cm by 15 cm rectangle?
Draw a diagram, label it according to the provided information and solve for the unknown. Find the area of a triangle if the legs measure 8 and 12 inches.
Draw a diagram, label it according to the provided information and solve for the unknown. An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. What is the area of the triangle?
Draw a diagram, label it according to the provided information and solve for the unknown. Harmonys front door is 42 inches wide and 84 inches tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the door?

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Pythagorean theorem word problems for table time

  • 2. Draw a diagram, label it according to the provided information and solve for the unknown. 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?
  • 3. Draw a diagram, label it according to the provided information and solve for the unknown. 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?
  • 4. Draw a diagram, label it according to the provided information and solve for the unknown. How far from the base of the house do you need to place a 15 foot ladder so that it exactly reaches the top of a 12 foot wall?
  • 5. Draw a diagram, label it according to the provided information and solve for the unknown. What is the length of the diagonal of a 10 cm by 15 cm rectangle?
  • 6. Draw a diagram, label it according to the provided information and solve for the unknown. Find the area of a triangle if the legs measure 8 and 12 inches.
  • 7. Draw a diagram, label it according to the provided information and solve for the unknown. An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. What is the area of the triangle?
  • 8. Draw a diagram, label it according to the provided information and solve for the unknown. Harmonys front door is 42 inches wide and 84 inches tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the door?