Given a right triangle (ABC) with side a = 30.30 ft and hypotenuse c = 36.41 ft, what is the length of the side b?
A)20.19 ft
B)47.37 ft
C)67.56 ft
D)None of the above

Question

Quizplus · Accepted Answer

The length of side b is 20.19 ft.
Solution
Use right triangle formula cS1U1P12 S1U1B0= aS1U1P12 S1S1P0+ bS1U1P12S1S1P0
Where a = 30.30 ft
c = 36.41 ft
bS1U1P12 S1S1P0= cS1U1P12 S1S1P0- aS1U1P12 S1S1P0= (36.41 ft)S1U1P12S1S1P0- (30.30 ft)S1U1P12 S1S1P0= 1325.69 ftS1U1P12 S1S1P0 - 918.09 ftS1U1P12 S1S1P0 = 407.60 ftS1U1P12 S1S1P0
b = (407.60 ftS1U1P12 S1S1P0)S1U1P1½S1S1P0 = 20.19 ft

Given a Right Triangle (ABC) with Side a = 30