Triangle Basics
45-45-90 Triangles
Triangles using Trig SOH-CAH-TOA
30-60-90 Triangles
Pythagorean Theorem
100
The sum of the interior angles of a triangle are equal to this amount.
What is 180 degrees
100
The hypotenuse and legs of any 45-45-90 degree triangle are always equal to this
What is x, x and x times the square root of 2
100
The ratio identified with SOH
What is sin = opposite/hypotenuse?
100
In any 30-60-90 triangle, the length of the the shortest side, the side opposit the 60 degree angle and the longest side are always this.
What is x, x times the square root of 3 and 2 times x?
100
The formula use to find a missing side of any right triangle.
What is a^2 + b^2 = c^2?
200
The sum of two remote interior angles are equal to the exterior angle m<1 + m<2 = m<3
What is the Exterior Angles Theorem
200
Given the legs of a 45-45-90 triangle are equal to 3, the hypotenuse is equal to this
What is 3 times the square root of 2?
200
The ratio identified with CAH
What is cos=adjacent/hypotensue?
200
Given the shortest side of a 30-60-90 triangle is equal to 6, the hypotenuse is equal to this.
What is 12?
200
If the hypotenuse = 10 and another side of a right triangle = 8, the third side must be equal to this.
What is 6?
300
A triangle with all sides equal and all angles equal
What is an equilateral and equiangular?
300
Given the hypotenuse of a 45-45-90 triangle is equal to 4, the legs are equal to this
What is 2 square root 2?
300
The ratio identified with TOA
What is tan=opposite/adjacent
300
Given the hypotenuse of a 30-60-90 triangle is equal to 12, the leg opposite the 60 degree is equal to this.
What is 6 times the square root of 3?
300
When one leg of a right triangle is 5 and the other leg is 12, the missing side must be equal to this.
What is 13?
400
If 2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles are.
What is congruent?
400
In a square the length of the sides are 1.4 cm, the diagonal drawn from one corner of the square to its opposite corner is what length?
What is about 2 cm?
400
In triangle RST, where T is the right angle, RT is the height = 5 and TS is the base of the triangle = 12 and they 3rd length is 13. Find all three trigonometric ratios for angle S.
What is sin S = 5/13, cos S = 12/13, and tan S = 5/12?
400
An equilateral triangle has side lengths of 2 cm. Draw the height and estimate its length.
What is about 1.7 cm?
400
When you lean a 25 foot ladder against a building only 7 feet away from the base of the building, the ladder will only be this height on the wall of the building.
What is 24 feet?
500
Triangles congruence can be proven 4 different ways, identify 3 methods
What is SSS, SAS, AAS or ASA
500
A tipping platform iss a ramp used to unload trucks. How high is the end of an 80 foot ramp when it is tipped by a 45 degree angle?
What is about 56.6 feet?
500
You are measuring the height of a Sitka Spruce tree in Alaska. You stand 45 feet from the base of the tree. You measure the angle of elevation from a point on the ground to the top of the tree to be 59 degrees. How tall is the tree?
What is about 75 feet tall?
500
A tipping platform iss a ramp used to unload trucks. How high is the end of an 80 foot ramp when it is tipped by a 30 degree angle?
What is 40 feet?
500
In slow pitch softball, the distance between consecutive bases is 65 feet. The pitcher's plate is located on a line between second base and home plate, 50 feet from home plate. How far is the pitcher's plate from second base?
What is about 42 feet?
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