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Similarity in rt. triangles
Pythagorean theorem
Special rt. Triangles
Trigonometry
100
If the altitude is drawn to the hypotenuse of a rt. triangle, then the two triangles formed are
similar to the original triangle and to each other.
100
What is the equation for the Pythagorean theorem? What is the length of the other leg of a rt. triangle with hypotenuse 12 and a leg of 6?
a) a2+b2=c2 b) 3 square roots of 12
100
If the hypotenuse of an isosceles rt. triangle is 4 cm, what is the length of a leg?
2 square roots of 2
100
What is SohCahToa an acronym for?
Sine=opposite/hypotenuse Cosine=adjacent/hypotenuse Tangent=opposite/adjacent
200
What is the length of an altitude drawn to the hypotenuse of a rt. triangle, if the segments of the hypotenuse are 5 and 8?
The altitude is equal to 2 square roots of 10.
200
What is the length of the hypotenuse (x) of a right triangle if legs are 4 and 6?
2 square roots of 13
200
If the shorter leg of a 30-60-90 rt. triangle is 5 square roots of 4, how long is the hypotenuse?
10 square roots of 4
200
If tanA= 3/4 , what is SinA and CosA?
SinA= ⅗ CosA= ⅘
300
Solve the proportion 6/x=x/11
Square root of 66
300
A rectangle has a length of 3.6 cm and width of 2.8 cm. What is the length of the diagonal?
The diagonal is equal to the square root of 20.8 cm.
300
If the longer leg of a 30-60-90 right triangle is 7 cm long, how long is the shorter leg?
7 square roots of 3 divided by 3
300
An observer 4 km from an airport, sees an airplane at an angle of elevation of 53 degrees. How high is the airplane at that moment? Round to the nearest tenth. appx. 5.3 km
appx. 5.3 km
400
When the _____ is drawn to the _______ of a right triangle, the length of the ______ is the ________ between the segments of the hypotenuse.
Altitude, Hypotenuse, Geometric Mean
400
Is a triangle with sides 7, 16, 24 acute, right, or obtuse?
The triangle is obtuse.
400
Double Jeopardy! Name Five Pythagorean Triples
See page 295 and if you are right receive 800 points.
400
An 8 m ladder reaches higher up on a wall when placed at 75 degree angle then when placed at a 59 degree angle. How much higher to the nearest tenth of a m?
0.8 m
500
Triangles EFG and QRS are similar. The length of the sides of EFG are 144, 128, and 112. The length of the smallest side of QRS is 280, what is the length of the longest side of QRS?
The longest side is 360
500
The hypotenuse of a right triangle is 2x and the base is 5 square root 3. Find the length of the third side (x).
x=5
500
Figure ABCD is a square. E, F, G, H are the midpoints of the sides of the square, forming another square. If GH= 9, what is the area of figure ABCD?
81 square roots of 4
500
A road 2.5 km long rises 600 m. What is the road’s angle of elevation?
sinA = 600/2500 = appx. 14 degrees