Pythagorean Theorem
Special Right Triangles
Miscellaneous
Sine, Cosine, and Tangent
Solving Right Triangles
100

Solve for x. Round your answer to the nearest hundredth if necessary. 

29

100

Solve for x in the triangle shown. Write answers in exact form.

x = 3

100

The diagonals of a rectangle are 8 units long and intersect at a 60° angles. Find the dimensions in exact values.

4 x 4Square root of 3

100

Name the sin, cos, and tan of angle S. 

sinS=28/53

cosS=45/53

tanS=28/45

100

What does it mean to solve a right triangle? 


To find all angles and sides. 

200

Solve for x. Round your answer to the nearest hundredth if necessary.

60

200

Solve for x and y in the triangle shown. Write answers in exact form.

x=16sqrt3, y=8sqrt3

200

Find sin x and tan x, given that 

cos x =5/7

sin x = sqrt(24)/7 or (2sqrt6)/7

tan x = sqrt(24)/5 or (2sqrt6)/5


200

Solve the triangle. Round to the nearest hundredth.

mangleG=65

h=5.49

g=11.78

300

Determine whether the side lengths form a triangle. If so, is the triangle acute, obtuse, or right?

7, 11, 18

Not a triangle

300

The perimeter of a square is 68 meter. Find the length of the diagonal. Write exact answer. 

17sqrt2

300

Find sinx, tanx given cosx =5/7

sinx=(2sq root6)/7, tanx=(2sq root6)/5

300

Solve the triangle. Round answers to the nearest hundredth.

GJ=60

mangleH=33.40

mangleG=56.60

400

The diagonals of a rhombus have lengths 16 and 30. Find the perimeter of the rhombus.

68

400

The perimeter of an equilateral triangle is 30 cm. What is the length of its altitude. Write the exact answer. 

5sqrt3

400

Solve the triangle. Round to the nearest tenth.

mangleK=50

KL=5.1

ML=6.1

500

Determine the area of the triangle. Round to the nearest tenth.

95.4

500

Find x. Write the exact answer with simplified radicals. 

x=2sqrt3

500

Solve the triangle. 

mltK=67

JL=56.2

JK=23.8