Answer:
Step-by-step explanation:
Given triangle ABC is a right triangle.
m∠ACB = 60°
m∠CAB = 30°
m(AC) = 1 unit
A). Shorter side of the given triangle = Side BC
By applying cosine rule,
cos(∠C) = 
cos(60°) = 
BC = 
BC = 
Length of the shorter side = 0.5 units
B). Longer side of the given triangle = side AB
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
1² = AB² + 
1 = AB² + 
AB = 
AB = 
AB = 
Length of the longer side = 
Since theirs no question...
The formula for PT:
a^+b^=c^
We are given to check
whether these numbers are proportional
we know that any set of numbers are proportional when their ratios are equal
so, firstly we will ratios
First set of numbers:
We are given first set of numbers as 15 , 20 and 30
so, it's ratio is

now, we can simplify it

Since, common factor is 5
so, we can cancel 5
and we get

Second set of numbers:
We are given first set of numbers as 24 , 32 and 48
so, it's ratio is

now, we can simplify it

Since, common factor is 8
so, we can cancel 8
and we get

We can see that both sets of numbers are having same ratios
so, they are proportional.........Answer
Answer:
C
Step-by-step explanation:
C is the only one that is an enlarged version of A.