Pythagorean Theorem
45-45-90 Triangles
30-60-90 Triangles
Triangle Inequalities
Surprise (triangles maybe?)
100
Do the following side lengths form a Pythagorean triple?
6 cm, 8 cm, 10 cm
Yes.
62 + 82 = 102
36 + 64 = 100
100
If 45-45-90 triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?
4
100
In a 30-60-90 triangle, the short leg is 1. How long is the long leg AND the hypotenuse? Your answers should be in simplified radical form.
Long leg is √3.
Hypotenuse is 2.
100
Is 8, 1, 6 a triangle?
No
1+6/>8
100
Can you have an angle measure greater than 90 degrees in a right triangle?
No
200
What kind of triangle has side lengths 5 ft, 6 ft, and 10 ft? Acute, Right, or Obtuse?
An obtuse triangle.
200
Is a 45-45-90 Triangle always Equilateral, Isosceles, or Scalene?
Isosceles
200
In a 30-60-90 triangle, the hypotenuse is 4 ft. What is the length of the short leg?
2 ft
200
What type of triangle is formed with sides 8,10,4
Obtuse
64+16<100
200
x=4.8
300
If a ladder is leaning against a wall so that it reaches a height of 12 feet, and the base of the ladder is 5 feet from the base of the wall, how long is the ladder?
13 feet
300
In a 45-45-90 triangle, one of the legs is 3 ft long. How long is the hypotenuse? Your answer should be in simplified radical form.
3√2 ft
300
Is a 30-60-90 triangle equilateral, isosceles, or scalene?
scalene
300
What type of triangle is formed with sides 14,10,11
Acute Triangle
100+121>196
300
List the sides from shortest to longest
\overline{LN}, \overline{LM}, \overline{MN}
400
A right triangle has a leg length of 7 ft and a hypotenuse length of 25 ft. What is the length of the other leg?
24 ft
400
In a 45-45-90 triangle, one of the legs is 51 cm. How long is the other leg and the hypotenuse? Your answers should be in simplified radical form.
other leg = 51 cm
hypotenuse = 51√2 cm
400
In a 30-60-90 triangle, the long leg is 6 meters. What is the length of the short leg in simplest radical form?
2√3 meters
400
What type of triangle is formed with sides 7,25,24
right
49+576=625
400
In a right triangle, the hypotenuse is 10, and the side opposite of an acute angle is 5. What is the measure of the acute angle?
30 degrees
500
In a right triangle, the hypotenuse is 12 and one of the legs is 6. How long is the other leg?
6√3
approx 10.4
500
If a square has a diagonal of length 16 meters, what is the side length of the square rounded to the nearest tenth of a meter?
11.3 meters
500
If the long leg of a 30-60-90 triangle is 11 cm, what is the length of the hypotenuse in simplest radical form?
22√3/3 cm
500
Is 14, 18, 30 a traingle? if it is what type?
yes its a obtuse triangle
500
x=20