Bell Ringer 30 60 3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a...

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Bell Ringer 30 60 3 X Y Find x and y

Transcript of Bell Ringer 30 60 3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a...

Page 1: Bell Ringer 30 60 3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a 30-60-90 triangle in word problems.

Bell Ringer

30

603

X

Y

Find x and y

Page 2: Bell Ringer 30 60 3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a 30-60-90 triangle in word problems.

Objective

• I can evaluate the legs and hypotenuse of a 30-60-90 triangle in word problems

Page 3: Bell Ringer 30 60 3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a 30-60-90 triangle in word problems.

Let’s identify the sides of a 30-60-90 triangle

30

60

Hypotenuse

Long LegThe side located across the 60 angle!

The shortest side located across the 30 angle!

The longest side located across the right angle!

Short Leg

Page 4: Bell Ringer 30 60 3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a 30-60-90 triangle in word problems.

30

603

6Hypotenuse = 2*Short Leg

Short Leg

Long Leg= Short Leg*

Formula

3

Page 5: Bell Ringer 30 60 3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a 30-60-90 triangle in word problems.

Example 1

30

60X

5 3

Y

Find x and y. Solution:

Which leg is given? Long Leg

Long Leg=

Long Leg = Short Leg *

Page 6: Bell Ringer 30 60 3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a 30-60-90 triangle in word problems.

Example 2

If an equilateral triangle has side with length , find the length of the altitude.

Page 7: Bell Ringer 30 60 3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a 30-60-90 triangle in word problems.

Solution


4-6 Hypotenuse-Leg Theroem.pdf

4-6 Hypotenuse-Leg Theroem.pdf

Altitude to the Hypotenuse Theorem

Altitude to the Hypotenuse Theorem

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CHAPTER 10 · 2 x 2 8 2 x 2 1 x 8 x 17. hypotenuse leg 2 18. hypotenuse leg 2 14 2 x 2 x (1.4) 2 14 xx 2 cm 19. No; you cannot determine the measures of the other two angles. 20.

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Quilt is 60 x 60.

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One right angle Two acute angles hypotenuse leg leg² + leg² = hypotenuse² Acute angles are complementary.

One right angle Two acute angles hypotenuse leg leg² + leg² = hypotenuse² Acute angles are complementary.

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45 ⁰ 45 – 45 – 90 Triangle:. 60 ⁰ 30 – 60 – 90 Triangle: i) The hypotenuse is twice the shorter leg.

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Warm-Up Exercises EXAMPLE 1 Find hypotenuse length in a 45-45-90 triangle o o o Find the length of the hypotenuse. a. SOLUTION hypotenuse = leg 2 = 8=

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