Special Triangles

Find the missing side lengths. Leave answers as radicals in the simplest form.

see explanation

Step-by-step explanation:

Using the cosine and tangent trigonometric ratios and the exact values

cos30° = and tan30° = , then

cos30° = = = ( cross- multiply )

× m = 12 ( divide both sides by )

m = ← rationalise by multiplying numerator/ denominator by )

m = × = = 4

-------------------------------------------------------------------------------

tan30° = = = ( cross- multiply )

× n = 6 ( divide both sides by )

n = ← rationalise the denominator

n = × = = 2

-----------------------------------------------------------------------------------

step-by-step explanation:

20

step-by-step explanation: