Rhombus diagonals

In the rhombus ABCD are given the sizes of diagonals e = 24 cm; f = 10 cm. Calculate the side length of the diamond and the size of the angles, and calculate the area of the diamond.

Correct answer:

a =  13 cm
A =  45.2397 °
B =  134.7603 °
S =  120 cm2

Step-by-step explanation:

e=24 cm f=10 cm  a=(e/2)2+(f/2)2=(24/2)2+(10/2)2=13 cm
sin A/2 = f/2 : a  A=2 π180°arcsin(f/2/a)=2 π180°arcsin(10/2/13)=45.2397=45°1423"
sin B/2 = e/2 : a  B=2 π180°arcsin(e/2/a)=2 π180°arcsin(24/2/13)=134.7603=134°4537"
S=2e f=224 10=120 cm2

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