Find the value of x Pythagorean theorem

here you go : )

Step-by-step explanation:

Given b=21 and c=19√5,

a = 2√341 = 36.932370625239

∠α = 60.377° = 60°22'38" = 1.05378 rad

∠β = 29.623° = 29°37'22" = 0.51702 rad

area = 21√341 = 387.78989156501

perimeter = 100.41766219773

h =  

42√1705

95

= 18.255253863718

Calculation Steps

The following is one way to perform the calculation. It may not be the best way.

a =√c2 - b2

=√(19√5)2 - (21)2

=√1805 - 441

=√1364

=2√341

=387.78989156501

∠α =  

arcsin(a)

c

=arcsin(0.86929780303421)

=60.377° = 60°22'38" = 1.05378 rad

∠β =  

arcsin(b)

c

=arcsin(0.49428871081574)

=29.623° = 29°37'22" = 0.51702 rad

area =  

a × b

2

=  

2√341 × 21

2

=21√341

=387.78989156501

perimeter =a + b + c

=2√341 + 21 + 19√5

=100.41766219773

h =  

a × b

c

=  

2√341 × 21

19√5

=  

42√1705

95

=18.255253863718

the answer is d

step-by-step explanation: