What is the greatest possible whole-number length of unknown side ?

The greatest possible whole-number length of unknown side = 9 inches.

Step-by-step explanation:

Complete Question

Two sides of an acute triangle measure 5 inches and 8 inches. The longest side is unknown. What is the greatest possible whole-number length of the unknown side?

Solution

An extension of the Pythagoras' theorem explains that 'If c is the longest side of an acute triangle and a & b are other two sides of the acute triangle, the three sides are related through the expression

c² < a² + b²

c² < 5² + 8²

c² < 25 + 64

c² < 89

c < 9.43

Hence, the greatest possible whole-number length of unknown side = 9 inches.

Hope this Helps!!!

on friday there were 15 birds

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.