Vocabulary/Equations
Rational or Irrational
Solving for Hypotenuse or Leg
Pieces of the Formula
Word Problems for PT
100
What is the formula for the Pythagorean Theorem?
a2 + b2 = c2
100
91/99
Rational; .91.... (it repeats)
100
When one leg=45 and the other leg=55 then the hypotenuse=?
What is 73.
100
What are the sides of the triangle next to the right angle? That is letters "a" and "b" are used to represent which part of the triangle?
legs
100
Roofers need to know how long of a ladder they need. The roof is 16 feet high and the bottom of the ladder will be placed 12 feet from the building. What is the length of the ladder?
The length of the ladder is 20 feet.
200
What is the triangle inequality theorem? That is how do you know if three side lengths will make a triangle.
The sum of the two shortest side lengths must be greater than c.
a+b> c
200
Square root of 529
Rational; 23, it terminates
200
When one leg=7 and the other leg=144 then the hypotenuse=?
What is 145.
200
What do we call multiplying a number by itself?
squaring a number
200
The diagram below shows the roof of a house. Suppose you need to replace a beam that connects the two sides of the roof. How long should be beam be? hint: this is an isosceles right triangle
The length of the beam is 35.35 feet.
300
If a2 + b2 > c2 , what type of triangle will be formed?
acute triangle
300
Square root of 901
Irrational: 30.01666204... non-repeating and non-terminating
300
When one leg=8 and the other leg=15 then the hypotenuse=?
What is the square root of 289.
300
What is the side of the triangle across from the right angle? (*Side c)
Hypotenuse
300
John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? 
The distance from school to home is 10 blocks.
400
If a2 + b2 < c2 , what type of triangle will be formed?
obtuse triangle
400
302
Rational; 900 because it terminates
400
When one leg=20 and the hypotenuse=101 then the other leg=?
Length of 99.
400
The side that always has the longest length in a right triangle
What is the hypotenuse?
400
Construction workers are building a ramp. The ramp is 9 feet high and 12 feet long. This is the length of the slanted part of the ramp.
What is 15 feet?
500
If a2 + b2 = c2 , what type of triangle will be formed?
right triangle
500
.82
Rational; it terminates and can be written as a fraction 82/100
500
When area of one leg= 49 and the area of the other leg= 576 then the hypotenuse=?
What is the square root of 625.
500
The operation we used to "get rid" of something squared.
What is taking the square root?
500
To get from point A to point B you must avoid walking through the pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to swim through the pond.
You would save about 22 meters if you swam through the pond.