Answer:
c = 42.5
Step-by-step explanation:
The legs of the triangle are a and b and the hypotenuse is c
Let a be the shorter leg
The hypotenuse is 5 more than the longest leg
c = b+5
The shortest leg is 20
a = 20
We can use the Pythagorean theorem
a^2 +b^2 = c^2
Substituting in what we know from above
20 ^2 + b^2 = (b+5)^2
FOIL (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25
400 + b^2 = b^2+10b+25
Subtract b^2 from both sides
400+b&2-b^2 = b^2 -b^2 +10b+25
400 = 10b+25
Subtract 25 from both sides
400-25 = 10b+25-25
375 = 10b
Divide by 10
375/10 = 10b/10
37.5 = b
But we want to find c
c=b+5
c = 37.5+5
c = 42.5
Answer:
Since we have a 30° - 60° - 90° triangle, we can calculate any side by knowing at least one out of three:
Since the length of the hypotenuse is twice as long as the shorter leg, we have:
The length of the short leg is: 25/2 = 12.5
Since the length of the longer leg is equal to the length of the shorter leg
multiply by square root of 3 we have:
The length of the longer leg is: 12.5 × √3 ≈21.65
=> The perimeter of the triangle is: 25 + 12.5 + 21.65 = 59.15
Answer:
1. 60000.12
2. 54000.15
3. 9600.48
4. 3840.48
Step-by-step explanation:
I really hope this helps and may I receive brainliest please
