WorksheetsPythagorean Challenge
Total questions: 10
Worksheet time: 5mins
What is the formula of the Pythagorean theorem?
a^2 + b^2 = c^2
a^2 - b^2 = c^2
a^3 + b^3 = c^3
a + b = c
If one side of a right triangle is 5 and the other side is 12, what is the length of the hypotenuse?
15
8
20
13
In a right triangle, if the lengths of two sides are 3 and 4, what is the length of the third side?
8
5
7
6
What is the relationship between the squares of the two shorter sides of a right triangle and the square of the hypotenuse?
The relationship between the squares of the two shorter sides of a right triangle and the square of the hypotenuse is given by the Pythagorean theorem: a^2 + b^2 = c^2.
a^2 / b^2 = c^2
a^2 - b^2 = c^2
a^2 * b^2 = c^2
If a right triangle has sides of length 6, 8, and x, what is the value of x?
10
12
5
15
What is the Pythagorean triple for which the sum of the squares of the two shorter sides is equal to the square of the hypotenuse?
3, 4, 5
7, 24, 25
5, 12, 13
8, 15, 17
If the lengths of the two shorter sides of a right triangle are 9 and 12, what is the length of the hypotenuse?
10
18
20
15
What is the Pythagorean theorem used for?
Solving algebraic equations
Measuring angles in a triangle
Calculating the length of the sides of a right triangle.
Finding the area of a circle
In a right triangle, which side is considered the hypotenuse?
The side adjacent to the right angle
The longest side
The side opposite the right angle
The side opposite the acute angle
If the lengths of the two shorter sides of a right triangle are 7 and 24, what is the length of the hypotenuse?
25
20
30
15
