Two sides of a triangle have lengths 11 and 18. what must be true about the length of the third side?
less than 29
less than 18
less than 33
less than 11

less than 29

Step-by-step explanation:

The smallest side cannot be smaller than the difference of the other two sides

18-11 = 7

and it cannot be larger than the sum of the other two sides

18+11 =29

Let s be the other side

7 < s < 29

It must be less than 29 units in length.

Step-by-step explanation:

The length of the third side of a triangle must be less than the sum of the lengths of the first two sides.  Since 11+18=29, the third side must be less than 29 units in length.  

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°