In a right triangle, the sum of the squares of the lengths of the legs equals the hypotenuse.
What is The Pythagorean Theorem
100
The shorter leg has length g, the longer leg equals g times the square root of 3, and the hypotenuse has length 2g.
What is 30-60-90 triangle
100
the legs have length L and the hypotenuse has length square root of 2L²
What is Isosceles Right Triangle
100
(AB)² = (x2 - x1)² + (y2 - y1)²
What is The Distance Formula
100
A tangent to a circle is perpendicular to the radius drawn to the point of tangency.
What is the Tangent Conjecture
200
3-4-5, 6-8-10, 9-12-15, 12-16-20
What are pythagorean triples
200
Shorter side = 5
Longer side = ?
Hypotenuse = ?
Longer side = about 8.66
Hypotenuse = 10
200
45-45-90
What is the angles of an Isosceles Right Triangle
200
Find the distance between A(8,15) B(-7,23)
What is AB = 17
200
Angles inscribed in a semicircle are right angles.
What is the Angles Inscribed in a Semicircle Conjecture
300
How high up on the wall will a 20 foot ladder touch is the foot of the ladder is placed 5 feet away from the wall?
What is about 19.4 feet
300
Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 6 inches and 8 inches.
What is 10 inches
300
Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are both 3 inches.
What is about 4.24
300
Write an equation for the circle with center (5,4) and radius 7 units.
What is (x - 5)² + (y-4)² = 7²
300
Find the area of a scoop of ice cream if it is sitting on a right triangular cone with the longer length 16 cm and the hypotenuse 20 cm. Assume the scoop is a perfect semicircle.
What is 18 pi or about 56.5
400
Find the area of a rectangular rug if the width is 15 feet and the diagonal measures 25 feet.
What is 300
400
Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 4 inches and 4 times square root of 3 inches.
What is 8 inches
400
A right triangle with a 45° angle must be a 45°- 45°- 90° special right triangle. (true or false)
What is true
400
What is the circumference of a circle with a line from the center (3,7) to a point on the circle (10,17)
What is 218 pi or about 684.9
400
Find the diameter of a circle when all you see is one portion. When you lay a meter stick on top of the portion, it measures 24 m. The distance between the stick and the bottom of the portion is 8 m.
What is 26 m
500
Find the perimeter of a rectangular bench if the width is 24 meters and the diagonal measures 25 meters.
What is 62
500
Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 138 inches and one of the angles is 30°
What is 69 inches and 69 times the square root of 3 inches.
500
What is the perimeter in an isosceles right triangle with the hypotenuse equaling 14.14
What is 34.14
500
What is the area of a circle with a line from one side of the circle (2,4) to the other(5,7), passing through the center.
What is 325 pi or about 1017.9
500
Find the area enclosed by 2 intersected lines each being tangent to a circle at points that form a 120 degree angle with the vertex in the center of the circle. The 2 lines intersect at a distance of 8 times the square root of 3.