Basic Concepts
The ratio of side lengths in a 45-45-90 triangle.
The ratio of side lengths in a 45-45-90 triangle
If one leg of a 45-45-90 triangle is 5 units, the length of the hypotenuse is this.
What is 5√2?
If the shortest side of a 30-60-90 triangle is 4, the hypotenuse measures this.
What is 8?
The type of triangle needed to apply the Pythagorean Theorem.
What is a right triangle?
Find the length of the diagonal for a rectangle with sides 8 and 15.
What is 17?
The term for the longest side of a right triangle.
What is the hypotenuse?
In a 45-45-90 triangle, if the hypotenuse is 6√2, each leg measures this length.
What is 6?
The length of the longer leg in a 30-60-90 triangle with a hypotenuse of 12.
What is 6√3?
If one leg of a right triangle measures 3 and the hypotenuse measures 5, this is the length of the other leg.
What is 4?
The area of a right-angled isosceles triangle with hypotenuse length 10√2.
What is 50?
The Pythagorean Theorem formula.
What is a2+b2=c2
Given a 45-45-90 triangle with legs of length x, this is the expression for the hypotenuse in terms of x.
What is x√2?
In a 30-60-90 triangle, if the longer leg is 9, the hypotenuse is this long.
What is 6√3?
The formula for checking if a triangle with sides of 7, 24, and 25 is a right triangle.
What is 7² + 24² = 25²?
Given a square with a diagonal of 16, find the length of each side.
What is 8√2?
In a 30-60-90 triangle, the ratio of the lengths of the shortest side to the hypotenuse.
What is 1:2?
The perimeter of a 45-45-90 triangle with hypotenuse length 10.
What is 10 + 5√2 + 5√2?
Find the perimeter of a 30-60-90 triangle with side lengths x, x√3, and 2x, where x = 3.
What is 3 + 3√3 + 6?
The distance between points (5, 1) and (1, 4) using the Pythagorean Theorem.
What is √25 or 5?
Calculate the height of an equilateral triangle with side length 18.
What is 9√3?
The side length of a square whose diagonal is √2.
What is 1?
Determine the area of a 45-45-90 triangle where the length of the hypotenuse is 14.
What is 49?
The area of a 30-60-90 triangle with shortest side length 10.
What is 50√3?
Solve for the hypotenuse of a right triangle with legs measuring 8 and 15.
What is 17?
Determine the side lengths of a right triangle where the perimeter is 36 and one leg is 9.
What is 9, 12, and 15?