Sine Rule
Cosine Rule
Trig Ratios
Pythagoras theorem
Mixed Problem
100
To use the sine rule I must have at least _________?
A side and its opposite angle
100
To use the Cosine rule we must have at least ______
Two sides
100
What is the ratio for sine?
Opposite/Hypothenuse
100
State the Pythagoras theorem
a2 + b2 = c2
100
The leg opposite to a 36-degree angle in a right triangle is 15 cm. How long is the hypotenuse?
25.5 cm (3 s.f.)
200
In the sine rule, each angle must be opposite to a _______
Side
200
The key angle must be between the _____
to known sides
200
What type of triangle does trig ratios use for?
Right Triangle
200
What type of triangle can the Pythagoras thereon apply to
Right Triangle
200
The bearing of P from Q is 247 degrees. What is the bearing of Q from P?
067 degrees
300
State the sine rule Formula
a/Sin(A) = b/sine(B) = c/sin(C)
300
State the cosine rule
a2 = b2 + c2-2(b)(c)Cos(A)
300
What is the Acronym for the Trig ratios?
SOH CAH TOA
300
What is the name of the longest side in a right triangle?
Hypothenuse
300
Find PQ
a/sinA = b/sinB a = b x sinA/sinB
PQ/sin48o = 18.3/sin27o
PQ = 18.3 x sin48o/sin27o
PQ = 29.96
400
In a triangle, angle A is 45 degrees, angle B is 30 degrees, side CB is 5 cm. What is the exact length of side AC?
5 sq. rt. 3 / sq. rt. 2
400
Two sides of a triangle are 7 and 3 units long, the angle included between them is 52 degrees. How long is the third side?
5.70 (3 s.f.)
400
Find the value of x
36.5
400
What must be known on a triangle to use the Pythagoras theorem
Two (2) known sides
400
find B in the triangle.
b2 = a2+c2 - 2ac cosB
9 = 25 + 36 - 60 cosB
9-61 = -60cosB
-52/-60 = cosB
cosB = 0.866667 B= 29.9o
500
In triangle ABC, a = 4 cm, b, = 7 cm and angle B = 80 degrees. Calculate the size of angle A and angle C and the length of side c. State the angles to 2 d.p. and the side to 3 s.f.
34.25 degrees, 65.75 degrees and 6.48 cm
500
In triangle ABC, a = 6, c = 10 and angle B = 76 degrees. Calculate the length of the third side, correct to 2 d.p.
10.34
500
Find the height of the ballon
71.4
500
if b = 6 and c = 10, what is a?
8
500
Find x.
c2 = a2+b2 - 2ab cos C
c2 = 82+112 - 2 x 8 x 11 x cos39o
c2= 64 + 121 - 176 cos39o
c2 = 48.22 c = 6.94