Unit 7 calendar is on the back of the Unit 6 calendar...
Transcript of Unit 7 calendar is on the back of the Unit 6 calendar...
� Unit 7 calendar is on the back of the Unit 6
calendar, pick up the guided notes packet
� Complete the crossword puzzle on Pythagorean
Theorem!
• If a2 + b2 = c2 , then the triangle is a right triangle.
• If the triangle is a right triangle, then
a2 + b2 = c2
• C is always the hypotenuse
� A rhombus has diagonals of 12 cm and 20 cm. What is the perimeter of the rhombus? in simplest radical form (a rhombus has 4 congruent sides
and its diagonals are perpendicular)
� A window washer has an 18-ft ladder. He
needs to reach the bottom of a window 16
feet of the ground. How far out from the
building should the base of the ladder be?
Round to the nearest tenth of a foot.
� 1, 2, 3
� 2, 3, 4
� 3, 4, 8
� Cut your paper into pieces that have a
length of 1, 2, 3, 4, & 8 cm.
� Try to create the triangle given.
� Given SAS, the area of the triangle is half the product of the lengths of two sides and thesine of the included angle.
� A = ½ (side)(side)(Sine(angle))
� A = ½ bc(SinA)
� A = ½ ac(SinB)
� A = ½ ab(SinC)
• In any right triangle, the hypotenuse is opposite the right
angle. For each acute angle, one of the right triangle’s legs is
known as that angle’s OPPOSITE LEG and the remaining
leg is known as the angle’s ADJACENT LEG. In ∆CAR the hypotenuse is AC. For acute <C, side AR is its opposite leg
and side RC is its adjacent leg. For acute <A, side RC is its
opposite leg and side AR is its adjacent leg.
CR
A
CR
A
� One group of similar triangles is shown on the
grids below. For each right triangle, the angle
opposite the longer leg has been named with the
same letter as the grid. Determine the ratios in
the table and write the ratios in lowest terms.
�The ratio of the length of two sides of a right triangle is called a trigonometric ratio.
�The three basic trig ratios are sine, cosine, and tangent, which are abbreviated sin, cos, and tan.
Using a scientific calculator, evaluate the following to the nearest tenth. Make sure your calculator is in DEGREE MODE.
Sin(53˚) =
Cos(53˚) =
Tan(53˚) =
• For ABC, write the ratios in lowest terms.
(Solve for AC first.)
sinA = sinC =
cosA = cosC =
tanA = tanC =
Let (-3, -4) be a point on the terminal side of θ.
The angle that is named will be
at the ORIGIN.
The ordered pair is the point at
the other end of the hypotenuse
that starts at the ORIGIN.
1-Calculate each side length
2-Determine the three trig ratios
for this triangle.