An acute triangle has sides measuring 10 cm and 16 cm. the length of the third side is unknown. which best describes the range of possible values for the third side of the triangle?

<6 cm to >26 cm I believe

Step-by-step explanation:

6cm < c < 26 cm

Step-by-step explanation:

The third side of a triangle is limited by the other two sides

Call the other two sides of a triangle a and b

the smallest the third side can be is a-b, where a is the larger side.  It cannot include the value a-b

The largest the third side can be is a+b, but does not include the value

Calling the third side c

a-b < c < a+b

Since the two sides are 16 and 10

16-10 <  c < 16+10

6cm < c < 26 cm

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: