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

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tan30° = = = ( cross- multiply )

× n = 6 ( divide both sides by )

n = ← rationalise the denominator

n = × = = 2

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do you have the measurements?