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Anastaziya [24]
3 years ago
7

Question 6 of 10 Multiple Choice: Please select the best answer and click "submit." What is the greatest number of acute angles

that a right triangle can contain? A. 1 B. 2 C. 0 D. 3
Mathematics
1 answer:
gavmur [86]3 years ago
3 0
2. it can't have three because one of them is a right triangle do D doesn't add up. It can't have 0 because an obtuse angle plus a right angle would go over 180 degrees. So, the most it can have is 2 acute for example 90(right angle) 30(acute) and 60 (acute) is a possible answer. Also, a right angle can only have two acute angles since an obtuse angle would put it over 180 which was already stated
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We know that

[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
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[area of one equilateral triangle]=b*h/2
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<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm

<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
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