Special Triangle Theorem

What are the two special right triangle theorems?

• Area and perimeter theorem

• Sine and cosine theorem

• Angle sum theorem and exterior angle theorem

• Pythagorean theorem and properties of 45-45-90 and 30-60-90 triangles

What is the formula to find the hypotenuse of a 45-45-90 triangle?

• hypotenuse = a + √2

• hypotenuse = a / √2

• hypotenuse = a * 2

• hypotenuse = a * √2

What is the formula to find the legs of a 45-45-90 triangle?

• leg = hypotenuse + √2

• leg = hypotenuse - √2

• leg = hypotenuse * √2

• The formula to find the legs of a 45-45-90 triangle is leg = hypotenuse / √2

What is the formula to find the hypotenuse of a 30-60-90 triangle?

• Hypotenuse = longer leg - shorter leg

• Hypotenuse = shorter leg / 2

• Hypotenuse = 2 * shorter leg

• Hypotenuse = shorter leg + longer leg

Find x.

• 10

• 20

• 10√3

• √3

Find the length of the other leg of the given triangle.

(HINT: 30-60-90 Triangle Theorem)

If JL=10 what is JK in simplest radical form.

(Hint what kind of special triangle is this)

• 5

Find x.

• 10

• √3

• 5

• 10√3

Find x.

• 4

• 2

• 4√3

• 2√2

Find n.

• 4

• 6

• 12

• 2√3