Right triangle

Calculate the unknown side b and interior angles, perimeter, and area of ​​a right triangle if a=10 cm and hypotenuse c = 16 cm.

Correct answer:

b =  12.49 cm
A =  38.6822 °
B =  51.3178 °
C =  90 °
o =  38.49 cm
S =  62.45 cm2

Step-by-step explanation:

a=10 cm c=16 cm b=c2−a2​=162−102​=2 39​=12.49 cm
A=180/π⋅ (arcsin(a/c))=180/3.1416⋅ (arcsin(10/16))=38.6822∘=38°40′56"
B=90−A=90−38.6822=51.3178∘=51°19′4"
C=90=90∘
o=a+b+c=10+12.49+16=38.49 cm
S=a⋅ b/2=10⋅ 12.49/2=10 39​=62.45 cm2

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