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2 years ago

PROVE THESE TRIANGLES ARE CONGRUENT

Mathematics

2 answers:

jenyasd209 [6]2 years ago

8 0

Answer:

These triangles cannot be proved congruent

Step-by-step explanation:

The theorems for congruence are SSS SAS ASA AAS. Here, there is only one common side and one common angle marked, therefore you cannot prove congruency.

disa [49]2 years ago

3 0

Answer: They are congruent

Step-by-step explanation:

The side marks are marked as 1, so they are equal. You can try moving the second triangle on the first, but what you can also do is use the law of cosines using a random side and angle value to find if the other sides are equivalent.

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A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d

Andrew [12]

Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

$b^2=a^2+c^2-2acCosB\\b^2=207^2+135^2-2(207)(135)Cos65^\circ\\b^2=37453.8654\\b=\sqrt{37453.8654} \\b=193.53\: miles$

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).

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