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.

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Presentation transcript:

Bell Ringer 30  60  3 X Y Find x and y

Objective I can evaluate the legs and hypotenuse of a triangle in word problems

Let’s identify the sides of a 30  -60  -90  triangle 30  60  Hypotenuse Long Leg The side located across the 60  angle! The shortest side located across the 30  angle! The longest side located across the right angle! Short Leg

30  60  3 6 Hypotenuse = 2*Short Leg Short Leg Long Leg= Short Leg* Formula 3

Example 1 30  60  X 53 Y Find x and y. Solution: Which leg is given? Long Leg Long Leg= Long Leg = Short Leg *

Example 2 If an equilateral triangle has side with length, find the length of the altitude.

Solution