Area of Triangles
Trig Functions/
Pythagorean Theorem
Pythagorean Theorem
Law of Sin
Law of Cos
Inverses/ Application differences
100
What is the area formula for a right triangle that gives you the altitude? What is the area formula for a triangle with two sides and an angle in between?
A= 1/2 x Base x Height
A=1/2 x A x B x Sin C
or
A=1/2 x Side 1 x Side 2 x (Sin<)
100
What are the 3 trig functions and what are they equal to (aka what is their ratio formulas)?
Sin<=Opp/Hyp
Cos<=Adj/Hyp
Tan<=Opp/Adj
100
What is the Law of Sine formula(s) and explain the difference?
a/Sin A = b/SinB = c/SinC to find a missing side
SinA/a = SinB/b =SinC/c to find a missing angle
100
What is the law of Cosine formula?
a2=b2+c2-2(b)(c)CosA
or
(Missing or Opposite side)2=(side1)2+(side2)2-2(side1)(side2)Cos(<)
100
How do we denote (aka write) the inverses for the 3 trig functions?
Sin^-1(x)
Cos^-1(x)
Tan^-1(x)
200
Find the Area?
A=(1/2) x (4) x(1.5) = 3 in2
200
Given the angle alpha, find the 3 trig. functions ratios
Sin(α)=8/17
Cos(α)=15/17
Tan(α)=8/15
200
Set up the equation with the correct numbers, without solving for the missing side
c/sin105 =7/sin35
200
Set up the equation with the correct numbers, without solving for the missing angle
162 = 92 + 192 -2(9)(19)(CosA)
200
If I'm given two sides of a right triangle and I need to find the third missing side, I should use.....
The Pythagorean Theorem!!!
Aka a2 + b2 = c2
300
Find the Area? Round answer to nearest tenth!
A= (1/2) x (5.2) x (7.1) x Sin (83) = 18.3 cm2
300
Find X using the Pythagorean Theorem
62 + 82 = X2
10=X
300
Find side CB (aka side a)? Round answer to nearest hundredth.
a/sin35 =68/sin120
a=45.04
300
Find the missing side. Round to the nearest tenth.
X2= 282 + 222 - 2(28)(22)Cos(97)
X=37.7 cm
300
If I'm given two sides of a non right triangle that intersect, and I'm also given the angle in between those two sides, I can use the Law ______ to find the ______?
I can use the LAW OF COSINES to find the MISSING THIRD SIDE which is the OPPOSITE SIDE to the given angle.
400
Find the Area? Round answer to nearest tenth!
A=11345.2
400
Use a trig function to find side AC without using a calculator
8 x Tan25 = side b or AC
400
Find m<B? Round answer to nearest tenth.
m<B=48.6
400
Find the missing side. Round to the nearest tenth.
Side y = 10.2
400
To be able to use any of the trig functions or to use the Pythagorean Theorem on a given triangle, it has to be a _______.
Right triangle
500
Find the Area to the nearest tenth given the information above and knowing side AB=9
A=67.9
500
Use a trig function to find side AC without using a calculator
24 x Sin 30 = side AC or b
500
Find m<B? Round answer to nearest tenth.
m<B=44.0
500
Find the m<M. Round to the nearest tenth.
m<M=41.4
500
Find m<A using an inverse trig. function
m<A=50 degrees