Pythagorean Theorem
20.6
A ladder is 18 feet up on a house, and 10 feet away from the house on the ground, how long is the ladder?
15.6
A piece of lumber is leaning against a wall. The top of the lumber hits the wall 12 feet above the ground. The bottom of the lumber is 10 feet away from the wall. About how long is the piece of lumber? (Draw a picture to help.)
Pythagorean Theorem Definition
A right triangle (with a 90 degree angle) is composed of two legs and a hypotenuse (side opposite the right angle).
perfect square
A square with a whole number root.
13
A traffic helicopter flies 5 miles due north, and then 12 miles due east. Then the helicopter flies a straight path back to where it started. How far did the helicopter travel altogether? (*After you draw your picture, watch what the question is asking!)
right triangle
A triangle that contains a right angle.
Right Triangle
A triangle that has one right angle (90 degrees) with 2 legs, and one hypotenuse.
right angle
An angle of exactly 90 degrees.
root (of a square)
Any side of a square. A number which, when multiplied by itself, makes a square. One of the dimensions of a square.
50
Devon is walking home from school one day and decides to take a shortcut. He walks diagonally across a rectangular vacant lot. The length of the lot is 30 yards, and the width of the lot is 40 yards. What was the distance that Devon walked?
leg
Either of the two shortest sides of a right triangle, they meet at a common vertex to form a right angle.
Pythagoras
Greek philosopher, 570-495 BC. There is no evidence that Pythagoras himself worked on or proved the Pythagorean Theorem, which was used previously by Babylonians and Indians.
5m
If the hypotenuse is 13 and a leg is 12 , what is the missing leg?
25
If the legs of a right triangle are 7 and 24, what is the hypotenuse?
32
Leg a- 20 Leg b- 25
15.2
Leg a- 6 Leg b- 14
24.04
Marisa wants to use a fence to divide her square garden in half diagonally. If each side of her garden is 17 feet long, how long will the fence have to be? (Just the diagonal piece.) Draw a picture to help!
inverse operations
Math operations that reverse the effect of each other.
10
On a sunny day, the oak tree in Elijah's yard casts a 24 foot shadow. If the distance from the end of the shadow to the top of the tree is 26 feet, how tall is the actual tree?
Legs
Sides that are adjacent (same vertex, share a common side) the right angle. There are two.
A²+ B² = C²
The Pythagorean Theorem
Right
The Pythagorean theorem can only be used with ___________ triangles.
hypotenuse
The longest side of a right triangle. It is always opposite of, and never is a part of, the right angle.
square
The result of multiplying a number by itself.
Hypotenuse
The side opposite the right angle
pythagorean theorem
The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
32.4
What is the perimeter of this triangle if the two legs are 9 cm and 10 cm?
right triangle
a triangle with a 90 degree angle
