Find the Hypotenuse
If a triangle has legs of 3 and 4.
The hypotenuse would be 5
The hypotenuse is 13, and one leg is 12.
5
The Pythagorean theorem states that the sum of the square of two legs of a right triangle equals the square of the hypotenuse
True
A 13-foot ladder leans against a wall, and the base is 5 feet from the wall. How high up does the ladder reach?
12 feet
Write the formula for the Pythagorean Theorem
a^2 + b^2 = c^2
If a triangle has legs of 6 and 8.
The hypotenuse is 10
The hypotenuse is 10, and one leg is 6.
8
The verse used for today's application was Proverbs 3:21
A tree casts a shadow 9 feet long, and the distance from the top of the tree to the tip of the shadow is 15 feet. How tall is the tree?
12 feet
What type of triangle does the Pythagorean Theorem apply to?
Right Triangle
If a triangle has legs of 5 and 12
the hypotenuse is 13
The hypotenuse is 17, and one leg is 15.
8
True
A rectangular garden has dimensions of 12 feet by 16 feet. What is the length of its diagonal?
20 feet
A triangle has sides 3, 4, and 5. Is this a Pythagorean triple?
Yes
If a triangle has legs of 7 and 24
The hypotenuse is 25
The hypotenuse is 25, and one leg is 7.
24
Does the Pythagorean Theorem date back to the BC era?
True
A flagpole is supported by a wire that is 26 feet long. The wire is attached 24 feet up the pole and staked 10 feet from the base of the pole. Is the wire long enough?
No; the wire needs to be 26.83 feet long.
Give an example of a Pythagorean triple other than 3, 4, 5.
Examples include 5, 12, 13; 7, 24, 25; or 8, 15, 17
If a triangle has legs of 9 and 40.
The hypotenuse is 40
The hypotenuse is 50, and one leg is 14.
48
It was Newton who discovered the Pythagorean Theorem:
False
An 8-foot fence is 15 feet away from a building. How long must a ladder be to reach the top of the fence from the base of the building?
17 feet
If a=2x, b = x + 4, and c=10, solve for x using the Pythagorean Theorem.
x = 6