Question 16: Side AD

Geometry Level 1

MA.912.G.5.3 - Use special right triangles (30° - 60° - 90° and 45° - 45° - 90°) to solve problems.

Geometry EOC Study Guide. How many can you solve correctly?

C B A D

Lew Sterling Jr by Lew Sterling Jr , 24, USA

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3 solutions

Lew Sterling Jr
Apr 3, 2015

1 Helpful 0 Interesting 0 Brilliant 0 Confused

SOH-CAH-TOA \text{SOH-CAH-TOA}

cos ⁡ 60 = A D 12 \cos 60=\dfrac{AD}{12}

A D = 12 cos ⁡ 60 = AD=12 \cos 60 = 6 \boxed{6}

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Rubayet Tusher
May 4, 2015

Angle C=30, Angle ABC = 90, So, Angle A = 60,

In Triangle ABD, (AD/AB) = cos A = cos 60 = (1/2).

Therefore, AD = (1/2)AB = (1/2)(12) = 6 is the answer.(Choice A)

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