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## PowerPoint Slideshow about 'Warm Up' - altsoba-wright

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### 7.3: Special Right Triangles

Objectives:

To use the properties of 45-45-90 and 30-60-90 right triangles

45°-45°-90° Right Triangle

It is an isosceles, right triangle– Both legs are congruent!!

THEOREM:

The hypotenuse is times the length of the legs

IF YOU NEED TO FIND THE HYPOTENUSE:

Hypotenuse = (Length of Leg) X

IF YOU NEED TO FIND A LEG:

Length of leg =

x

30°-60°-90° Right Triangle diagonal?

- Shorter Leg is the side opposite the 30° angle
- Longer leg is the side opposite the 60° angle

Let the shorter leg = n

HYPOTENUSE = 2 ∙ SHORTER LEG

= 2n

LONGER LEG = SHORTER LEG

= n

If you need to find the shorter leg (side opposite 30°): diagonal?

If given the hypotenuse:

SHORTER LEG =

If given the longer leg:

SHORTER LEG=

Fill in the table of values for the side lengths of a 30-60-90 triangle:

Find the area of the triangle. simplest radical form.

45

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