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What is the area of ABC below? If necessary, round your answer to two decimal places.

What is the area of ABC below? If necessary, round your answer to two decimal places-example-1

2 Answers

5 votes

The answer I got from apex was- 106.26


User NikoRoberts
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Based on the given figure above, in order for us to find the area of the triangle, we need to find the value of the base first. So in finding the base, we are going to use the Pythagorean theorem. a2 + b2 = c2. Substitute the values.
(9.4)^2 + (23.2)^2 = c2
88.36 + 538.24 = c2
626.6 = c2
c= 25.03
Now that we have the base, let us proceed for the Area.
The formula for area would be A = 1/2 (b)(h)
Plug in the values.
A = 1/2(25.03)(7.9)
A= 1/2(197.74)
A= 98.87
Therefore, the area of figure ABC is 98.87.
Hope this answer helps.
User Harish Rajula
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7.2k points