Question

Find the measure of angle J, the smallest angle in a triangle with sides measuring 11, 13, and 19. Round to the nearest whole degree

Answer 1

Answer:

34°

Step-by-step explanation:

We need to use the law of cosines to find angle J.

$11^{2}=19^{2} +13^{2} -2(19)(13)cos(J)\\121=361+169-494cos(J)\\121=530-494cos(J)\\121-530=-494cos(J)\\-409=-494cos(J)\\cos(J)=\frac{-409}{-494} \approx 0.8\\ J \approx cos^{-1}(\frac{409}{494} ) \approx 34\°$

Therefore, the right answer is the second choice, 34°.

Remember, when you apply the law of cosines, the first square in the formula must be the opposite side to the angle we want to find.

Answer 2

Answer:

34 degrees

Step-by-step explanation:

hope this helps