Unit Six: Pythagorean Theorem
a = 16, c = 20, b = 2√(2) 12 4√(23) 4√(41)
12
a = 5, b = 12, c = √(34) √(119) √(154) 13
13
a = 8, b = 15, c = 17 √(24) √(46) √(161)
17
For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form. a = 4, b = 4, c =
4 root 2
For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form. a = 5, b = 10, c =
5 root 5
For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form. b = 9, c = 16 a =
5 root 7
Create the equation to be used to find the missing lengths. Do not solve the equation. Format your answer in the sequence: hypotenuse, unknown leg, known leg.
8^2 = b^2 +4^2
a = 40, c = 41, b = 1 9 57 81
9
The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. Format your answer in the sequence: hypotenuse, unknown leg, known leg.
9^2 = x^2 +5^2
The lengths of the sides of a triangle are 4, 5, 6. Can the triangle be a right triangle? Yes No
No
The Pythagorean Theorem deals with which relationship in a right triangle? The sum of the two angles and the right angle The lengths of the legs and the length of the hypotenuse The ratio of the two legs The perimeter of the triangle and the hypotenuse
The lengths of the legs and the length of the hypotenuse
The lengths of the sides of a triangle are 3, 3, 3 root 2. Can the triangle be a right triangle? Yes No
Yes
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle? Yes No
Yes
The lengths of the sides of a triangle are 6, 8, 10. Can the triangle be a right triangle? Yes No
Yes
The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. (Enter the smaller leg of the triangle first.) Do not solve the equation.
x^2 = 4^2 + 7^2
The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. Do not solve the equation.
y^2 = 3^2 + 3^2
