Diamond and diagonals

A diamond has diagonals f = 8 cm and g = 6 cm long. How long is this diamond perimeter? (Calculate it!)

Result

o =  20 cm

Solution:

f=8 cm g=6 cm  a=(f/2)2+(g/2)2=(8/2)2+(6/2)2=5 cm o=4⋅ a=4⋅ 5=20 cmf=8 \ \text{cm} \ \\ g=6 \ \text{cm} \ \\ \ \\ a=\sqrt{ (f/2)^2+(g/2)^2 }=\sqrt{ (8/2)^2+(6/2)^2 }=5 \ \text{cm} \ \\ o=4 \cdot \ a=4 \cdot \ 5=20 \ \text{cm}

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Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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