6 + (-4) = 6 + (-6) = ???
2 answers:
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Consider the given triangles.
Given:
ASA congruence criterion states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
AAS congruence criterion states that if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Consider the first part:
1. In triangles ABC and QPT
If we take along with the given condition.
Then the triangles are congruent by ASA congruence criterion.
2. If we take and
along with the given condition.
Then the triangles are congruent by ASA congruence criterion.
3. As,,
and
, so the triangles can not be congruent.
4. If we take and
along with the given condition.
Then the triangles are congruent by AAS congruence criterion.
5. If we take AC=TQ=3.2 and CB=QP=3.2 along with the given condition, then the triangles are congruent but by SAS congruence criteria neither by ASA nor AAS congruence criterion.
Answer: The length of the third straw is 29 centimeters.
Step-by-step explanation: Given that Anja is creating a triangle using three straws and the lengths of two shorter straws are 20 cm and 21 cm.
We are to find the length of the third straw in centimeters so that Anja will create a right triangle.
The two shorter straws will make the legs of the right-angled triangle because they are shorter.
Since the third straw will be the largest, so it will make the HYPOTENUSE of the triangle.
In a right-angled triangle, we have
Hypotenuse² = length of one leg² + length of the other leg².
Therefore, we get
Thus, the length of the third straw is 29 centimeters.