A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle?

Length of the side opposite to angle is 31.49

Step-by-step explanation:

Included angle can be defined as the angle in between two sides of the triangle.

So angle is in between sides 16 and 21.

Refer to the attachment for triangle diagram.

To find the length of opposite side, use cosine rule as follows

From the diagram,

Substituting the values in the formula,

Simplifying,

Taking square root on both sides,

Therefore length of third side is 31.49

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n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9