Vocabulary and Foundations
This term refers to the longest side of a right triangle, which is always located opposite the right angle
Hypotenuse
If a triangle has sides of 6 and 8, this is the length of the hypotenuse that completes the triple
10
If a^2+b^2 is exactly equal to c^2, the triangle is classified as this
Right
The distance between the points (1,4) and (11,4)
10
To find the length of a third side of a right triangle, you must know the lengths of this many sides
Two
Solve for c to complete this triple: (28, 45, c)
53
If a^2+b^2>c^2, the triangle is classified as this
Acute
18
This theorem state that if a^2 + b^2 = c^2, then the triangle must be a right triangle
Converse of the Pythagorean Theorem
Solve for b to complete the triple: (7, b, 25)
24
If a^2+b^2<c^2, the triangle is classified as this
Obtuse
On a football field that is 160 feet wide and 300 feet long, this is the formula used to find the diagonal distance
160^2+300^2=c^2
In the standard formula a^2 + b^2= c^2, these two letters represent the “legs” of the triangles
In a triangle with a hypotenuse of 61 and a leg of 60, this is the length of the missing side a
11
A triangle has sides of 4, 4, and 5. It is classified as this type
acute
A triangle has sides lengths of 7cm, 9cm, and 11cm. Prove whether or not this is a right triangle
Not a right triangle -> acute
List a common “Pythagorean Triple”
(3,4,5) (5,12,13) (9,12,15) (7,24,25)
What is the formula for solving for a?
a= square root(c^2-b^2)
This is the classification for a triangle with sides of 15, 20, and 25 feet
right
If a right-angled path has a total hypotenuse distance of 37 yards and one leg of 35 years, what is the length of the other leg?
340