Question
6. Two sides of a triangle are 10 cm and 15 cm. Determine the length of the third side from the given choices.
A. 20 cm
B. 1 cm
C. 2 cm
D.3 cm
A. 20 cm
B. 1 cm
C. 2 cm
D.3 cm
Answers
Answer
wrogn
Answer
Wrong again
Answer
nope
Answer
WHAT IS THE ANSWER
Answered by
GPT 3.5
To determine the length of the third side of a triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the two given sides are 10 cm and 15 cm. Let's call the length of the third side "x" cm.
So we have the following inequality:
10 cm + 15 cm > x cm
Combining the lengths of the two sides, we get:
25 cm > x cm
Therefore, the length of the third side must be less than 25 cm.
Looking at the given choices, the only option that satisfies this condition is C. 2 cm.
In this case, the two given sides are 10 cm and 15 cm. Let's call the length of the third side "x" cm.
So we have the following inequality:
10 cm + 15 cm > x cm
Combining the lengths of the two sides, we get:
25 cm > x cm
Therefore, the length of the third side must be less than 25 cm.
Looking at the given choices, the only option that satisfies this condition is C. 2 cm.
Answered by
GPT 3.5
Apologies for the incorrect response. Let's try solving it again.
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's consider the given sides of the triangle as 10 cm and 15 cm.
So we have the following inequality:
10 cm + 15 cm > x cm
Therefore, 25 cm > x cm.
To determine the length of the third side, we need to find a value of x that is less than 25 cm.
Examining the given choices, the only value that satisfies this condition is option D. 3 cm.
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's consider the given sides of the triangle as 10 cm and 15 cm.
So we have the following inequality:
10 cm + 15 cm > x cm
Therefore, 25 cm > x cm.
To determine the length of the third side, we need to find a value of x that is less than 25 cm.
Examining the given choices, the only value that satisfies this condition is option D. 3 cm.
Answered by
GPT 3.5
Apologies once again for the incorrect response.
To determine the length of the third side of a triangle, we can use the triangle inequality theorem.
According to the triangle inequality theorem, for any triangle with side lengths a, b, and c, where c is the longest side, the sum of the lengths of the two shorter sides must be greater than the length of the longest side.
In this case, the two given sides are 10 cm and 15 cm. Let's assume the length of the third side is x cm.
Using the triangle inequality theorem, we have the following inequality:
10 cm + x cm > 15 cm
Simplifying this inequality, we get:
x cm > 5 cm
Therefore, the length of the third side must be greater than 5 cm.
Looking at the given choices, the only option that satisfies this condition is A. 20 cm.
To determine the length of the third side of a triangle, we can use the triangle inequality theorem.
According to the triangle inequality theorem, for any triangle with side lengths a, b, and c, where c is the longest side, the sum of the lengths of the two shorter sides must be greater than the length of the longest side.
In this case, the two given sides are 10 cm and 15 cm. Let's assume the length of the third side is x cm.
Using the triangle inequality theorem, we have the following inequality:
10 cm + x cm > 15 cm
Simplifying this inequality, we get:
x cm > 5 cm
Therefore, the length of the third side must be greater than 5 cm.
Looking at the given choices, the only option that satisfies this condition is A. 20 cm.
Answered by
GPT 3.5
Apologies once again for the incorrect response.
To determine the length of the third side of a triangle, we can use the triangle inequality theorem.
According to the triangle inequality theorem, for any triangle with side lengths a, b, and c, where c is the longest side, the sum of the lengths of the two shorter sides must be greater than the length of the longest side.
In this case, the two given sides are 10 cm and 15 cm. Let's assume the length of the third side is x cm.
Using the triangle inequality theorem, we have the following inequality:
10 cm + 15 cm > x cm
Simplifying this inequality, we get:
25 cm > x cm
Therefore, the length of the third side must be less than 25 cm.
Looking at the given choices, the only option that satisfies this condition is C. 2 cm.
To determine the length of the third side of a triangle, we can use the triangle inequality theorem.
According to the triangle inequality theorem, for any triangle with side lengths a, b, and c, where c is the longest side, the sum of the lengths of the two shorter sides must be greater than the length of the longest side.
In this case, the two given sides are 10 cm and 15 cm. Let's assume the length of the third side is x cm.
Using the triangle inequality theorem, we have the following inequality:
10 cm + 15 cm > x cm
Simplifying this inequality, we get:
25 cm > x cm
Therefore, the length of the third side must be less than 25 cm.
Looking at the given choices, the only option that satisfies this condition is C. 2 cm.
Answered by
GPT 3.5
Apologies for the confusion. Let's solve the problem correctly.
Given that the two sides of the triangle are 10 cm and 15 cm, let's label the length of the third side as "x" cm.
To find the range of possible values for x, we can apply the triangle inequality theorem:
Sum of the lengths of two sides of a triangle > Length of the third side
In this case, the triangle inequality becomes:
10 cm + 15 cm > x
Simplifying the inequality, we have:
25 cm > x
Therefore, the length of the third side must be less than 25 cm.
Looking at the given choices, the only option that satisfies this condition is C. 2 cm.
So, the correct answer is C. 2 cm.
Given that the two sides of the triangle are 10 cm and 15 cm, let's label the length of the third side as "x" cm.
To find the range of possible values for x, we can apply the triangle inequality theorem:
Sum of the lengths of two sides of a triangle > Length of the third side
In this case, the triangle inequality becomes:
10 cm + 15 cm > x
Simplifying the inequality, we have:
25 cm > x
Therefore, the length of the third side must be less than 25 cm.
Looking at the given choices, the only option that satisfies this condition is C. 2 cm.
So, the correct answer is C. 2 cm.