-Use the Drawings Provided to Prove the Following Theorem

Question

Examlex · Accepted Answer

The Answer is The area of The area of is given by . Considering the auxiliary altitude from vertex B to side , we see that is a right angle. Then in right triangle . From , it follows that . By substitution, the area formula becomes so we have .

The area of is given by . Considering the auxiliary altitude from vertex B to side , we see that is a right angle. Then in right triangle . From , it follows that . By substitution, the area formula becomes so we have .

is given by The area of is given by . Considering the auxiliary altitude from vertex B to side , we see that is a right angle. Then in right triangle . From , it follows that . By substitution, the area formula becomes so we have .

. Considering the auxiliary altitude The area of is given by . Considering the auxiliary altitude from vertex B to side , we see that is a right angle. Then in right triangle . From , it follows that . By substitution, the area formula becomes so we have .

from vertex B
to side The area of is given by . Considering the auxiliary altitude from vertex B to side , we see that is a right angle. Then in right triangle . From , it follows that . By substitution, the area formula becomes so we have .

, we see that The area of is given by . Considering the auxiliary altitude from vertex B to side , we see that is a right angle. Then in right triangle . From , it follows that . By substitution, the area formula becomes so we have .

is a right angle. Then The area of is given by . Considering the auxiliary altitude from vertex B to side , we see that is a right angle. Then in right triangle . From , it follows that . By substitution, the area formula becomes so we have .

in right triangle The area of is given by . Considering the auxiliary altitude from vertex B to side , we see that is a right angle. Then in right triangle . From , it follows that . By substitution, the area formula becomes so we have .

.
From

, it follows that The area of is given by . Considering the auxiliary altitude from vertex B to side , we see that is a right angle. Then in right triangle . From , it follows that . By substitution, the area formula becomes so we have .

. By substitution, the area formula The area of is given by . Considering the auxiliary altitude from vertex B to side , we see that is a right angle. Then in right triangle . From , it follows that . By substitution, the area formula becomes so we have .

becomes

so we have The area of is given by . Considering the auxiliary altitude from vertex B to side , we see that is a right angle. Then in right triangle . From , it follows that . By substitution, the area formula becomes so we have .

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-Use the Drawings Provided to Prove the Following Theorem

Definitions: