SOLUTION: Please help me solve this word problem:
A triangle has side lengths of 7, 24, and 25. What is the measure of the smallest angle of the triangle? (Hint: Use the inverse trig button
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Question 973646: Please help me solve this word problem:
A triangle has side lengths of 7, 24, and 25. What is the measure of the smallest angle of the triangle? (Hint: Use the inverse trig button on your calculator)
Found 2 solutions by stanbon, reviewermath:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A triangle has side lengths of 7, 24, and 25. What is the measure of the smallest angle of the triangle? (Hint: Use the inverse trig button on your calculator)
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Your statement implies the triangle is a right triangle
with hypotenuse = 25
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The smallest angle is the angle opposite the smallest side, i.e. 7.
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Ans: angle = arcsin(7/25) = 16.26 degrees
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Cheers,
Stan H.
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Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
A triangle has side lengths of 7, 24, and 25. What is the measure of the smallest angle of the triangle? (Hint: Use the inverse trig button on your calculator)
Solution:
Let x = smallest angle
The triangle is a right triangle because [Pythagorean Theorem]
The angle opposite the smallest side is the smallest angle.
sine = (opposite side)/hypotenuse
Hence,
Using the inverse trig button, the sine inverse of
Answer: degrees [rounded to 2 decimal places]
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