Answer:
Question 9: False
Question 10: False
Step-by-step explanation:
The third side is always greater than the other two sides.
<u>Question 9</u>
a = 6, b = 6, c = 5
Since the third side is the smallest, it would not create a triangle.
<u>Question 10</u>
a = 7, b = 2, c = 5
Since the third side is the smallest, it would not create a triangle.
The answer to the question
How many facts does it take to make triangles congruent? Only 3 if they are the right three and the parts are located in the right place.
SAS where 2 sides make up one of the three angles of a triangle. The angle must between the 2 sides.
ASA where the S (side) is common to both the two given angles.
SSS where all three sides of one triangle are the same as all three sides of a second triangle. This one is my favorite. It has no exceptions.
In one very special case, you need only 2 facts, but that case is very special and it really is one of the cases above.
If you are working with a right angle triangle, you can get away with being given the hypotenuse and one of the sides. So you only need 2 facts. It is called the HL theorem. But that is a special case of SSS. The third side can be found from a^2 + b^2 = c^2.
You can also use the two sides making up the right angle but that is a special case of SAS.
Answer
There 6 parts to every triangle: 3 sides and 3 angles. If you show congruency, using any of the 3 facts above, you can conclude that the other 3 parts of the triangle are congruent as well as the three that you have.
Geometry is built on that wonderfully simple premise and it is your introduction to what makes a proof. So it's important that you understand how proving parts of congruent triangles work.
Label the width: 4ft
Label the length: 12ft (4ft for each segment).
Perimeter=12+12+4+4=32ft
