Answer:
Explanation:
Use Pythagorean Theorem: a^2+b^2=c^2 (a squared plus b squared equals c squared), where a and b are legs from the 90 degree angle and c is the opposite side of the triangle.
So for part a: a=AB=30 b=AC=30 and c=BC
a^2 +b^2 = c^2 Plug in the knowns
30^2 +30^2=c^2 Use Pemdas, Exponents first.
30^2=900 Simplify the equation
900+900=c^2 Simplify again
1800=c^2 Now to get rid of the ^2 we need to know the square root of 1800.
It is 42.426406871.........(There are more numbers in the decimal. Choose your stopping point and round) I'm going to round to the hundredths.
So, the answer to part a is 42.43 kilometers.
Now for part b. a=AD=45 b=AB=30 c=DB
Same equation
a^2 + b^2 =c^2 Plug in the knowns
45^2 + 30^2 =c^2 Simplify
2025 + 900 =c^2 Simplify
2925 =c^2 Find the square root
54.3083269 Round to the decimal place needed. I'm going with Hundredths.
Part b answer is 54.31 kilometers.