If an altitude is drawn to the hypotenuse of a right triangle, then the 2 triangles formed are simular to the big original triangle and to each other.
100
What are the leg/ hypotenuse relationship?
both legs are congruent, the hypotnuse is leg times the square root of two.
100
What does SOH-CAH-TOA stand for?
Sine opposite hypotenuse, cosine adjacent hypotenuse, tangent opposite adjacent.
100
What are the inverse ratios?(inverse tangent, sine and cosine)
Inverse tangent- if tanA=x then Inverse tanX=measure of angle A
Inverse Sine- If SinA=y then inverse SinY= measure of angle A
Inverse Cosine- If cosA=z then inverse cosZ= measure of angle A
200
Name the smallest Pythagorean triple
3,4,5
200
Triangle RST's altitude is drawn to the hypotenuse which forms line TU. Write a similarity statement.
Triangle TSU~ Triangle RTU~ Triangle RST
200
find the other leg and hypotenuse when it is a right triangle, with a 4in leg and a 45 degree angle.
leg=4 hypotenuse=4square roots of 2
200
an angle on a right triangle is 56 degrees, the adjacent side is 40. What os the opposite side length? Round to the nearest tenth.
59.3
200
Find the approximate measure of angle A. sinA=0.87
Measure of angle A= 60.5 degrees
300
One leg of a right triangle is 12 and the hypotenuse is is 15 what is the length of the other leg?
9
300
What is a geometric mean?
the geometric mean of two positive numbers a and b is the positive number x.
300
You have a square with side lengths of 12, it is cut on a diagonal( the line is D) to form 2 right triangles one of the angles is a 45 degree angle. What is D?
12 square roots of 2
300
find the length of the hypotenuse. When there is a 30 degree angle and the opposite side is 10.
Hypotenuse=20
300
Draw and solve triangle ABC. Angle A is 42 degrees, and AC is 70ft, C is a right angle. Round to nearest tenth
Two triangles are ______ if their corresponding angles are congruent and their corresponding sides are porportional.
simular
400
what are the side relationships for a 30-60-90 triangle?
The hypotenuse is 2 times the length of the shorter leg. The longer leg is the square root of 3 times the shorter leg.
400
Find the cosine of W. when V is a right angle WV=30 UV=18 and WV=24. Put it is fraction and decimal form.
4/5 and .8
400
To solve a triangle is to fin all of its______ and_______
Sides and angles
500
Tell is the triangle is acute, obtuse, right, or not a triangle. A triangle has sides with lengths of 12 feet, 16 feet, and 20 feet.
It is a right triangle
500
finish the porportion XW/?=ZW/YW
ZW
500
the longer leg of a 30-60-90 triangle is 9 what is the length of the shorter leg and hypotenuse?
Hypotenuse=y=6 square roots of 3
Leg=3 square roots of 3
500
What are the angle of depression and elevation?
The angle of elevation is when you look up at an object, the angle your line of sight makes with a horizontal line. Angle of depression is is when you look down at an object the angle your line of sight makes with a horizontal line.
500
Solve the right triangle, The leg is 36 and the Hypotenuse is 72.
Other leg= 36 square roots of three
Angle measures 30,60,90