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60 . 3. 30 . Bell Ringer . Find x and y. X. Y. Objective. I can evaluate the legs and hypotenuse of a 30-60-90 triangle in word problems. 60 . 30 . Let’s identify the sides of a 30 -60  -90  triangle. Hypotenuse. Short Leg. The longest side located across the right angle!.

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Presentation Transcript
Bell ringer

60

3

30

Bell Ringer

Find x and y

X

Y


Objective
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

60

30

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

Hypotenuse

Short Leg

The longest side located across the right angle!

The shortest side located across the 30 angle!

Long Leg

The side located across the 60 angle!


Formula

60

6

3

30

Formula

Hypotenuse = 2*Short Leg

Short Leg

Long Leg= Short Leg*

3


Example 1

60

X

30

Example 1

Find x and y.

Solution:

Which leg is given? Long Leg

Long Leg=

Y

Long Leg = Short Leg *

5

3


Example 2

Example 2

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



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