Right Triangle Basics
What is the sum of the interior angles of a triangle?
What is 180 degrees?
What is sine ratio in a right triangle?
What is Opposite/Hypotenuse?
If a right triangle has a 30-degree angle, what is the ratio of the opposite to the hypotenuse?
What is 1/2?
What function is used to find the height of a tree using an angle of elevation?
What is Tangent?
What are two conditions that prove two triangles are similar?
AA (Angle-Angle) and SSS (Side-Side-Side) similarity.
What is the name of the longest side of a right triangle?
What is Hypotenuse?
What is the cosine ratio in a right triangle?
What is Adjacent/Hypotenuse?
How do you find a missing angle if given two sides?
What is use inverse trigonometric functions (sin⁻¹, cos⁻¹, tan⁻¹)?
If a ramp is 10 meters long and makes a 30° angle with the ground, how high is the ramp?
What is 5 meters (Using
10*sin(30)
If two triangles are similar, what can be said about their corresponding angles?
What is they are congruent?
What is the Pythagorean Theorem?
What is a2+b2=c2?
What is tangent ratio in a right triangle?
What is Opposite/Adjacent?
If a triangle has angles 45°, 45°, and 90°, what is the ratio of its sides?
1:1:
sqrt2
A ladder leans against a wall with a 60° angle. If the base is 4 meters away, how long is the ladder?
What is 8 meters? Using
4/cos(60)
If two triangles are similar, what can be said about their corresponding sides?
What is they are proportional.
If a right triangle has legs of 6 and 8, what is the hypotenuse?
What is 10?
If sin(A) = 3/5, what is cos(A) if is in a right triangle?
What is 4/5?
In a 30-60-90 triangle, what is the ratio of the shortest side to the longest side?
What is 1 : 2?
A pilot sees a runway at a 5° angle of depression from 1000 meters up. How far is the plane from landing?
What is 11,474 meters?
1000/tan(5)
A triangle has sides 4, 6, and 8. A similar triangle has its shortest side as 10. What are the lengths of the other two sides?
What is 15 and 20 (Use proportionality:
10/4=x/6=y/8
What is the Pythagorean triple with smallest values?
What is 3,4,5?
What is the acronym used to remember trigonometric ratios?
What is SOH CAH TOA?
Some Old Horse Caught Another Horse Taking Oats Away
If a triangle has angles 30°, 60°, and 90°, what is the ratio of its sides?
What is 1:2:
sqrt 3
A boat sights a lighthouse at a 45° angle of elevation. If the lighthouse is 100 meters tall, how far is the boat from the base?
What is 100 meters (Using
tan(45)=1
A flagpole casts a 12 ft shadow while a 6 ft tall person casts a 2 ft shadow. How tall is the flagpole?
What is 35 feet (Using similar triangle proportions
h/12=6/2