To determine the possible measurement of the missing side length, we can use the triangle inequality theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
Let's call the missing side length "x".
From the given information, we have two side lengths: 11.9 cm and 9.1 cm.
1) When we add the two known side lengths, we get: 11.9 cm + 9.1 cm = 21 cm.
For the missing side length to form a triangle, it must be greater than the difference between the sum of the known side lengths and smaller than their sum.
So, the first possible measurement for the missing side length is: 21 cm > x > 1.9 cm.
2) Let's consider the other side length: x.
In this case, the sum of the known side lengths (11.9 cm and 9.1 cm) must be greater than the length of the missing side length:
11.9 cm + 9.1 cm > x
21 cm > x
Therefore, the second possible measurement for the missing side length is: 21 cm > x.
In conclusion, the two possible measurements for the missing side length are 1.9 cm < x < 21 cm and 21 cm > x.
Two side lengths of a triangle are shown above. What could be the measurement of the missing side length? (choose 2)
One angle is 11.9 cm another one is 9.1 cm
3 answers
No here are option
A 14.6 cm
B 22.4 cm
C 20.3 cm
D 25 cm
E 2.6 cm
A 14.6 cm
B 22.4 cm
C 20.3 cm
D 25 cm
E 2.6 cm
To determine the possible measurement of the missing side length, we can use the triangle inequality theorem.
According to the triangle inequality theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
Let's call the missing side length "x".
From the given information, we have two side lengths: 11.9 cm and 9.1 cm.
To find the possible measurement of the missing side length, we can add and subtract the given side lengths:
1) Adding the two known side lengths: 11.9 cm + 9.1 cm = 21 cm.
For the missing side length to form a triangle, it must be greater than the difference between the sum of the known side lengths and smaller than their sum.
So, the possible measurement for the missing side length is: 21 cm > x.
2) Subtracting the two known side lengths: 11.9 cm - 9.1 cm = 2.8 cm.
For the missing side length to form a triangle, it must be greater than the difference between the two known side lengths and smaller than their sum.
So, the possible measurement for the missing side length is: 9.1 cm < x.
Therefore, the possible measurements for the missing side length are 9.1 cm < x < 21 cm.
Comparing the given options, the measurements that fall within this range are:
A) 14.6 cm (9.1 cm < 14.6 cm < 21 cm)
C) 20.3 cm (9.1 cm < 20.3 cm < 21 cm)
So, the possible measurements for the missing side length are 14.6 cm and 20.3 cm, which are options A and C.
According to the triangle inequality theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
Let's call the missing side length "x".
From the given information, we have two side lengths: 11.9 cm and 9.1 cm.
To find the possible measurement of the missing side length, we can add and subtract the given side lengths:
1) Adding the two known side lengths: 11.9 cm + 9.1 cm = 21 cm.
For the missing side length to form a triangle, it must be greater than the difference between the sum of the known side lengths and smaller than their sum.
So, the possible measurement for the missing side length is: 21 cm > x.
2) Subtracting the two known side lengths: 11.9 cm - 9.1 cm = 2.8 cm.
For the missing side length to form a triangle, it must be greater than the difference between the two known side lengths and smaller than their sum.
So, the possible measurement for the missing side length is: 9.1 cm < x.
Therefore, the possible measurements for the missing side length are 9.1 cm < x < 21 cm.
Comparing the given options, the measurements that fall within this range are:
A) 14.6 cm (9.1 cm < 14.6 cm < 21 cm)
C) 20.3 cm (9.1 cm < 20.3 cm < 21 cm)
So, the possible measurements for the missing side length are 14.6 cm and 20.3 cm, which are options A and C.