Wouldn’t the answer be 8 and 3
<span>The problem is to calculate the angles of the triangle. However, it is not clear which angle you have to calculate, so we are going to calculate all of them
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we know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]
a=12.5
b=15
c=11
so
cos C=[a²+b²-c²]/[2*a*b]---> cos C=[12.5²+15²-11²]/[2*12.5*15]
cos C=0.694------------> C=arc cos (0.694)-----> C=46.05°-----> C=46.1°
applying the law of sines calculate angle B
15 sin B=11/sin 46.1-----> 15*sin 46.1=11*sin B----> sin B=15*sin 46.1/11
sin B=15*sin 46.1/11-----> sin B=0.9826----> B=arc sin (0.9826)
B=79.3°
calculate angle A
A+B+C=180------> A=180-B-C-----> A=180-79.3-46.1----> A=54.6°
the angles of the triangle are
A=54.6°
B=79.3°
C=46.1°
Answer:
Max: 500
Min: 492
Step-by-step explanation:
Her dog is on an 8 meter leash but it doesn't necessarily take up the whole leash. The most is could be closer to her house than Morgan is 8 meters, the least is 0.
Most: 500-0=500
Min: 500-8=492
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Answer:
Ramiro is correct.
You cannot identify congruent triangles with only angles Angle-Angle-Angle is not one of the rules of congruence. They could have different sizes with the same angles which doesn't makes them congruent. They are similar though. Once you find the missing angles with the equations 62+39+C=180 and 39+79+X=180 the corresponding angles are congruent. So the triangles are not congruent, but are similar.