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Pythagorean Theorem

Right Angle Triangles

Unknown Parts of a right Angle Triangle

Finding Trig Ratios

100

When using Pythagoras Theorem, the Hypotenuse is labeled with what letter?

c

100

The two sides of a right triangle are 3 and 4. What is the hypotenuse?

5

100

One of the angles in a right triangle is 35 degrees. What is the measures of the other two angles?

90 and 55 degrees

100

opposite/hypotenuse

100

A= 3; O = 4; H = 5. What is the Sine ratio?

4/5

200

When using Trigonometry, the side length directly across from the angle is called?

Opposite

200

Would the following measures, 9, 12, 15, create a right triangle?

Yes

200

To solve a right triangle means to find the measures of all its ________ and ___________.

angles, sides

200

Right triangle ABC: side AB=18 side BC=12. Find angle A.

33.7

200

A = 6; O = 4; H = square root of 52. What is the tangent ratio?

2/3

300

Find: tan(60) to 2 decimal places

1.73

300

The hypotenuse of a triangle is 5 and one of the sides is 2. What is the length of the other side to one decimal place?

4.6

300

What is the longest side of a right triangle called?

Hypotenuse

300

Right triangle KLM: Angle M=40, Hypotenuse=8, Angle L=90. Find KL.

5.1

300

You are standing on a footbridge in a park that is 12 metres high above a pond. You look down and see a duck in the water 7 metres away from the footbridge. What is the angle of depression to one decimal place.

59.7 degrees

400

When using Pythagoras Theorem, what is the formula to calculate side c?

c=√a^2+b^2

400

The length of two sides of a right triangle are 8. What is the measure of the hypotenuse to one decimal place?

11.3

400

Using Trigonometry, calculate the Hypotenuse side when the Opposite = 8 and the angle = 56?

H = 9.65

400

Right triangle RST: Angle R=50, Angle S=90, ST=15. Find the missing angle and the hypotenuse RT.

Angle S=40 and RT=17.9

400

A soccer ball is placed 10 metres away from the goal, which is 8 metres high. You kick the ball and it hits the crossbar along the top of the goal. What is the angle of elevation of your kick to one decimal place?

38.7 degrees

500

When using Trigonometry, what trigonometric ratio is used to calculate the hypotenuse side when given the adjacent?

H=A/cos(x)

500

The hypotenuse of a triangle measures 7.1 and one side measures 4. What is the length of the other side to one decimal place?

5.9

500

Abbie rides her bicycle 21 km west and then 18 km north. How far is she from her starting point to 2 decimal places?

27.66 km

500

Right Triangle GHJ: Hypotenuse GJ=16, and side GH=14. Find HJ, angle G and angle J.

Angle G=29, Angle J=61, HJ=7.7

500

When do you use the trigonometric ratio to find a side length of a right triangle and when do you use the Pythagorean Theorem? Explain.

Trig Ratios - know the sides of side length and an acute angle, use these to find other side lengths and angle measures.

Pythagorean Theorem - when given two side lengths and find the third side length.

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