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Published byLauren Flynn Modified over 6 years ago

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Warm Up Find the value of x. Leave your answer in simplest radical form. x 9 7 x

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**Special Right Triangles**

Objectives: To use the properties of right triangles

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**45°-45°-90° Right Triangle THEOREM:**

What is it? It is an isosceles, right triangle– Both legs are congruent!! THEOREM: The hypotenuse is times the length of the legs.

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**45°-45°-90° Right Triangle IF YOU NEED TO FIND THE HYPOTENUSE:**

Multiply the leg by IF YOU NEED TO FIND A LEG: Divide the hypotenuse by

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Examples #1 and #2 Find h: 2. Find x: x 9 h

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Example #3 Find x: x

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**Example #4 - A square has a perimeter of 24 inches**

Example #4 - A square has a perimeter of 24 inches. How long is the diagonal?

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**7 x Warm up 1. Find x and y. 2. Find x. x y**

If you were absent on Friday… you should stay after school or go to the MATH LAB. Warm up 1. Find x and y. 2. Find x. x 7 y x

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**Special Right Triangles**

Objectives: To use the properties of right triangles

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30°-60°-90° Right Triangle Shorter Leg is the side opposite the 30° angle Longer leg is the side opposite the 60° angle Hypotenuse is ALWAYS opposite the 90° angle

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

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**Examples: IF GIVEN THE SHORTER LEG OR THE HYPOTENUSE… YOU HIT THE**

1. Example # 2

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**Examples: IF GIVEN THE LONGER LEG, then find the shorter leg First!**

1. Example # 4

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Example #5: Example # 5 1.

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**Example #6: Find the value of each variable. **

(Figure not drawn to scale) a=____ b=____ c=____ d=____

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**Example #7: Find the area of the triangle.**

What is the formula for area of a triangle?

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

Shorter Leg Longer Leg Hypotenuse 3 4 15 34 10

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