Pyth. Thm.
30-60-90
45-45-90
Vocab/Formulas
Draw it and Solve
100
a=6, b = 8, c = ? (units)
What is 10 units
100
a = 6, what are the lengths of sides b and c? (units)
What is b = 6√3 units and c = 12 units
100
a = 7, what are the lengths of the other two sides? (units)
What is b = 7 units and c = 7√2 units
100
What is the Pythagorean Theorem?
What is a2 + b2 = c2
100
A 25 foot ladder is leaning against a wall. The bottom of the ladder is 8 feet away from the wall. How high up on the wall does the ladder reach? *Round to the nearest tenth.
What is 23.7 feet
200
a = 5, b = 12, c = ? (units)
What is 13 units
200
a = 5, what are the lengths of sides b and c? (units)
What is b = 5√3 units and c = 10 units
200
a = 6√2, what are the lengths of the other two sides? (units)
What is b = 6√2 units and c = 12 units
200
Which type of triangle uses the square root of 2?
What is a 45-45-90 triangle
200
Mike is walking to his friend's house. He walks 4 blocks EAST, then 7 blocks SOUTH. How far away is he from his home? *Round to the nearest whole block.
What is 8 blocks
300
a = 8, b = 15, c = ? (inches)
What is 17 inches
300
c = 24, what are the lengths of sides a and b? (feet)
What is a = 12 feet and b = 12√3 feet
300
b = 9√2, what are the lengths of the other two sides? (feet)
What is a = 9√2 feet and c = 18 feet
300
If you know the length of the hypotenuse and one leg, how can you solve for the other leg?
What is square both numbers, than subtract the leg squared from the hypotenuse squared, then take the square root of the difference.
300
A rectangular room is 9 feet by 20 feet. How long is it from one corner to the other? *Round to the nearest tenth.
What is 21.9 feet
400
a = 7, c = 13, b = ? (feet) **Round to the nearest tenth.
What is 11.0 feet
400
b = 15, what are the lengths of sides a and c? (inches) *Round to the nearest tenth.
What is a = 8.7 inches and c = 17.4 inches
400
c = 26, what is the length of each leg? (miles) *Round to the nearest tenth.
What is they both equal 18.4 miles
400
What is the longest side of a right triangle called?
What is the HYPOTENUSE
400
Noelle has a tall tree in her front yard. She attaches a wire to the top of the tree for a zip line. It makes a 60 degree angle at the top. She measures the distance from the bottom of the tree to the bottom of the wire as 150 feet. How tall is the tree? *Round to the nearest tenth.
What is 86.6 feet tall
500
a = 12, c = 24, b = ? (centimeters) *Round to the nearest tenth.
What is 20.8 cm
500
b = 4√3, what is the PERIMETER of this triangle? (in meters) *Round to the nearest tenth.
What is 18.9 meters
500
c = 31, what is the PERIMETER of this triangle? (centimeters) *Round to the nearest tenth.
What is 74.8 cm
500
If you have a 30-60-90 triangle and you only know the length of side b, how can you solve for side a?
What is divide side b by the square root of 3
500
A triangular frame has two 45 degree angles. The hypotenuse is 16 inches long. How long is each leg? *Round to the nearest tenth.
What is 11.3 inches
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