45-45-90 Triangles
30-60-90
Triangles
Converses
Applications
Mystery
100
Determine the other two sides of an isosceles right triangle with one leg length of 12.
What is other leg =12 and hypotenuse = 12 square root 2
100
Determine the measure of the other two sides of a 30-60-90 degree triangle with a long leg measuring 7 square root of 3.
What is short leg = 7 and hypotenuse = 14
100
Determine whether the following side measures make up a 45-45-90 degree triangle, a 30-60-90 degree triangle, or neither: 4, 8, 4 square root 3 Justify your answer.
What is 30-60-90 because edges are in ratio x:2x; x square root of 3.
100
Given the edge lenght of a square is 2 square root of 2 feet, find the length of the diagonal.
What is 4 feet?
100
Determine the other two sides of an isosceles right triangle with one leg of 4 square root 5.
What is other leg = 4 square root 5 and hypotenuse = 4 square root 10?
200
Determine the other two legs of an isosceles right triangle with hypotenuse of 4 square root 2.
Both legs = 4
200
Determine the measure of the other two sides of a 30-60-90 degree triangle with a hypotenuse measuring 16 cm.
What is short leg = 8 cm and hypotenuse = 8 square root of 3 cm?
200
Determine whether the following side measures make up a 45-45-90 degree triangle, a 30-60-90 degree triangle, or neither: 9, 9, 9 square root 3 Justify your answer.
What is neither triangle, because neither special ratio is present
200
The length of the diagonal of square is 3 square root 2 feet what is the perimeter of the square?
What is 3 x 4 =12 feet
200
Determine the measure of the other two sides of a 30-60-90 degree triangle with a hypotenuse measuring 8 square root of 3.
What is short leg = 4 square root of 3 and long leg = 12?
300
Determine the other two sides of an isosceles right triangle with hypotenuse of 5 square root 6.
What is both legs = 5 square root 3
300
Determine the measure of the other two sides of a 30-60-90 degree triangle with a short leg measuring 9 square root 2 units.
What is long leg = 9 square root 6 and hypotenuse = 18 square root of 2
300
Determine whether the following side measures make up a 45-45-90 degree triangle, a 30-60-90 degree triangle, or neither: 5, 5, 5 square root 2 Justify your answer.
What is 45-45-90 because edges are in ratio x:x: x square root of 2?
300
Find the area of an equilateral triangle whose edge length is 12 m. Round your answer to the nearest tenth. (hint: A = ½bh) Justify your answer.
What is Area = 62.4 square meters? Bisect equilateral triangle into two congruent 30-60-90 triangles with hypotenuse of 12, short leg of six and long leg (AKA height) of 6 square root 3. Area of a triangle with a base of 12, height of 6 square root of 3 is A= 0.5*12*6SqRt3 = approximately 62.4.
300
Determine the other two sides of an isosceles right triangle with one leg length of square root 5.
What is other leg = square root 5 and hypotenuse = square root 10