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Please help me solve

Please help me solve-example-1
User Qtmfld
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1 Answer

2 votes

Answer:

D

Explanation:

First, to find the length of the side FH we will use the Pythagorean theorem which states
a^2+b^2=c^2. We can say that FH = a, FG = b, and HG = c. Since we know the values of b and c, we will rearrange the formula to solve for a
a = √(c^2-b^2). That will be
\sqrt{18^2-12^2) which gives us 13.4 for the missing side.

Now to solve for the angles we will use simple trigonometry. Since we know that
sin(\theta) = \frac{opposite} {hypotenuse}, we can do inverse trigonometry for the missing angles
sin^(-1)((opposite)/(adjacent)) = \theta. For angle H, we can do
sin^(-1)((12)/(18)) which gives us 41.8 degrees. For angle G we can do
sin^(-1)((13.4)/(18)) and we get 48.1 degrees. We could also use inverse cos and trig to solve it.

Looking at the answer choices, only answer choice D is correct.

User Catluc
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