SOLUTION: Question 1. Find side b if side a = 8.5 inches and side c = 15 inches. in a right triangle Question 2. For a right triangle that has legs a and b and hypotenuse c, find t

Algebra ->  Trigonometry-basics -> SOLUTION: Question 1. Find side b if side a = 8.5 inches and side c = 15 inches. in a right triangle Question 2. For a right triangle that has legs a and b and hypotenuse c, find t      Log On


   

Question 731874: Question 1.
Find side b if side a = 8.5 inches and side c = 15 inches. in a right triangle

Question 2.
For a right triangle that has legs a and b and hypotenuse c, find the length of the side not given here.
a = 5 cm
b = 12 cm
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Find side b (one leg) if side a+=+8.5in (other leg) and side c+=+15in (hypotenuse).
in a right triangle c%5E2=a%5E2%2Bb%5E2 (Pythagorean theorem)

%2815in%29%5E2=%288.5in%29%5E2%2Bb%5E2

%2815in%29%5E2-%288.5in%29%5E2=b%5E2

225in%5E2-72.25in%5E2=b%5E2

152.75in%5E2=b%5E2

sqrt%28152.75in%5E2%29=b

highlight%2812.36in=b%29

Question 2.
a+=+5cm
b+=+12cm
find: c

c%5E2=a%5E2%2Bb%5E2
c%5E2=%285cm%29%5E2%2B%2812cm%29%5E2
c%5E2=25cm%5E2%2B144cm%5E2
c%5E2=169cm%5E2
c=sqrt%28169cm%5E2%29
highlight%28c=13cm%29