The measure of in degrees, is approximately 34.38 side lengths are 4, 5.3 ,and 7
2 answers:
Draw the triangle as shown in the figure below.
a=5.3, b=7, c=4.
The smallest angle is ∠C because it is opposite the shortest length of 4.
From the Law of Cosines,
c² = a² + b² - 2ab cosC
or
cos C = (a² + b² - c²)/(2ab)
= (5.3² + 7² - 4²)/(2*5.3*7)
= 0.823
∠C = arcos(0.823) = 34.58°
This answer agrees reasonably with 34.38°
a=5.3, b=7, c=4.
The smallest angle is ∠C because it is opposite the shortest length of 4.
From the Law of Cosines,
c² = a² + b² - 2ab cosC
or
cos C = (a² + b² - c²)/(2ab)
= (5.3² + 7² - 4²)/(2*5.3*7)
= 0.823
∠C = arcos(0.823) = 34.58°
This answer agrees reasonably with 34.38°
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