Donnelly Joseph
09/20/2024 · Middle School

Two sides and an angle are given below. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any resulting triangle(s). You may or may not use all the blanks below. Type DNE in the boxes that are not used. \( a=5, c=7, m \angle C=120^{\circ} \) number of solutions = \( m \angle A_{1} \approx 38.21 \) (Type an integer or decimal rounded to two decimal places as needed.) \( m \angle B_{1} \approx 21.79 \) (Type an integer or decimal rounded to two decimal places as needed.) \( b_{1} \approx 3 \) (Round to the nearest whole number.) \( m \angle A_{2} \approx \square \) (Type an integer or decimal rounded to two decimal places as needed.) \( m \angle B_{2} \approx \square \) (Type an integer or decimal rounded to two decimal places as needed.) \( b_{2} \approx \square \) (Round to the nearest whole number.)

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One triangle can be formed with the given information. The angles and side lengths are as follows: \( m \angle A_1 \approx 38.21^\circ \), \( m \angle B_1 \approx 21.79^\circ \), \( b_1 \approx 3 \).

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