#1
In a right-angled triangle, what is the relationship between the lengths of the legs (a and b) and the hypotenuse (c) according to the Pythagorean theorem?
#2
What are the angles of a 30-60-90 triangle?
#3
In a right-angled triangle, if one acute angle is 40 degrees, what is the measure of the other acute angle?
#4
What is the name of the theorem that states the ratio of the lengths of the sides in a 45-45-90 triangle?
#5
If the angles of a triangle are in the ratio 1:2:3, what type of triangle is it?
#6
In a 30-60-90 triangle, what is the ratio of the length of the longer leg to the length of the shorter leg?
#7
In a 45-45-90 triangle, what is the ratio of the lengths of the legs to the hypotenuse?
#8
If the shorter leg of a 30-60-90 triangle is 4 units long, what is the length of the hypotenuse?
#9
If the hypotenuse of a right-angled triangle is 17 units long and one leg is 8 units long, what is the length of the other leg?
#10
What is the relationship between the angles in a 45-45-90 triangle?
#11
If the legs of a right-angled triangle are 5 units and 12 units, what is the length of the hypotenuse?
#12
In a 45-45-90 triangle, if one leg is 10 units, what is the length of the other leg?
#13
A ladder is leaning against a wall, forming a right-angled triangle. If the ladder is 10 meters long and the base (distance from the wall) is 8 meters, what is the height it reaches on the wall?
#14
If the hypotenuse of a 30-60-90 triangle is 12 units long, what is the length of the shorter leg?
#15
A right-angled triangle has angles θ, 90°-θ, and 90°. If tan(θ) = 3/4, what is the value of cos(θ)?
#16
A triangle has angles θ, 90°-θ, and 90°. If sin(θ) = 4/5, what is the value of cos(θ)?
#17