If a right triangle has a side of length 3 and a hypotenuse of length 9, what is the length of the other side

Step-by-step explanation:

in a right triangle a^2+b^2=c^2,

where a and b are the legs

where c is the hypothenuse

9^2= b^2+3^2

81-9=b^2

b^2=72

b=8.48

Step-by-step explanation:

Givens

a = ?

b = 3

c = 9

Formula

a^2 + b^2 = c^2

Solution

a^2 + 3^2 = 9^2

a^2 + 9 = 81

a^2 = 81 - 9

a^2 = 72

Now the tricky part. Are you required to give the exact answer which is

a = √72 = 6√2

or should you give

a = √72 = 8.49

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

560

step-by-step explanation:

giggidy