Pythagoras Real World Problems

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

Side c on a right triangle is ALWAYS the longest.

• true

• false

What is the longest side of a right triangle called?

• Leg A
• Leg B
• Hypotenuse
• Pythagoras' Big Buddy

side a on a right triangle is ALWAYS the longest side

• true
• false

You need a ladder that will reach up a 25 metre tall flag pole when placed 10 metres away from the pole. How tall does the ladder need to be?

Which equation could be used to solve the problem?

A 25 metre ladder is leaning against a wall. The ladder is placed 10 metres away from the skyscraper. How far up the wall does the ladder reach?

Which diagram best represents the problem?

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The slide at the playground has a height of 6 metres. The base of the slide measured on the ground is 8 metres. What is the length of the slide?

Which equation could be used to solve the problem?

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run? Which equation could be used to solve the problem?

The bottom of a 13-metre ladder is set into the ground 5 meters away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach? Which equation could be used to solve the problem?

How far from the base of a house do you need to place a 15 metre power conduit so that is exactly reaches the top of a 12 metre wall? Which equation could be used to solve the problem?

• 12 + b = 15