a) Which similarity theorem proves that the triangles are similar?
b) If CE = 30, find CB (round to the nearest tenth)
a) AA Similarity
b) CB = 11.5
Find the geometric mean of 16 and 4.
What is 8 ?
In the figure, what is the tangent, sine, and cosine ratios of the given angle?
What is tana = 8/15, sina = 8/17, and cosa = 15/17?
Find the angle A, B, and C. Round to the nearest tenth.
What is A=53.1, B=90, C=36.9?
Solve for x. Round to the nearest tenth.
x=21.3
Find the altitude of the triangle and the area?
What is altitude = 8 in and area = 80 in2?
∆XYZ is similar to ∆ABC. Write all three ratios of corresponding sides and all three pairs of congruent angles.
∠X=∠A, ∠Y=∠B, ∠Z=∠C
XY/AB = YZ/BC = XZ/AC
Find the angle to the nearest tenth of a degree.
What is 28.1 degrees?
The length of the diagonal of a square is 26. What is the length of each side? Leave answer in simplified radical form.
What is 13√2?
Find x and the perimeter of the following triangle:
x = 8√2, Perimeter = 16√2 + 16
Solve the following proportion:
4/(x-2)=(x+2)/8
x = -6 and x = 6
List the three similarity theorems used to prove that two triangles are similar.
What is AA, SAS, and SSS Similarities?
What trig function would you use to find AC.
What is sin?
Find side c?
What is 8√3?
Draw and label the sides of the two special triangles. Use 'x' as the variable to label the sides. Determine the following based on the pictures you drew:
a) sin(60)
b) tan(45)
c) cos(45)
a) √3/2
b) 1
c) √2/2
The two triangles are similar. Find x.
x = 12
Find the value of x. (Don't worry, the answer will not be a whole number)
What is 4/3 or 1.33?
Find the height of the plane.
What is 500 ft.?
Find the perimeter of the triangle in simplest radical form:
Perimeter =
4sqrt(5)+20
Find the perimeter of the trapezoid (Leave in simplified radical form):
Perimeter = 24 +8√2