� 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!

� Longest Side

� Across from the RIGHT ANGLE

� Only in right triangles

• 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

� y = 60 y = 5√5

� 2√77 2√19

� 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.

� Yes Yes No

• a2 + b2 > c2 ACUTE

• a2 + b2 < c2 OBTUSE

• 9, 11, 16

• 10, 12, 14

• 24, 70, 74

• Obtuse

• Acute

• Right

� 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.

�To make a triangle, the two

smaller sides must have a SUMthat is GREATER than the third

side.

� 2, 4, 5

� 6, 7, 14

� 3, 6, 9

• YES

• NO

• NO

�Half the product of a base and the corresponding height

�A = ½ bh

� 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)

11.1 m2 35.9 in2 86 in2

• 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

• In right ∆BUS, identify the hypotenuse,

opposite leg and the adjacent leg for <U.

� 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.

<A

<C

<E

�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.

Sin (K)=

Cos (K)=

Tan (K)=

DO NOT LEAVE RADICAL IN

DENOMINATOR!

Sin (R)=

Cos (R)=

Tan (R)=