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andriy [413]
3 years ago
9

What is the area of △ABC ? Enter your answer, as a decimal, in the box. Round only your final answer to the nearest tenth. units

² Triangle A B C has leg A C labeled 10 and leg B C labeled 17. Angle A C B is labeled 25.1 degrees.
Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer: 36.1\ units^2

Step-by-step explanation:

You need to use the SAS area formula. This is:

A=\frac{a*b*sin(\alpha)}{2}

Given the triangle ABC, you know that:

a=AC=10\ units\\b=BC=17\ units\\\alpha=\angle ABC=25.1\°

 Therefore, substituting these values into the formula, you get that the area of the triangle ABC is:

A=\frac{(10\ units)(17\ units)*sin(25.1\°)}{2}\\\\A=36.1\ units^2

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