The diagonals of the rhombus are 12 cm and 16 cm. Find the area and perimeter of the rhombus.
| December 1, 2020 | education
S of a rhombus = diagonal 1 × diagonal 2 × 1/2
S rhombus = 12 × 16 × 1/2 = 192 × 1/2 = 96
P rhombus = length of rhombus side × 4
In order to find the length, you need to use the Pythagorean theorem
Length squared = 1/2 diagonal1 squared + 1/2 diagonal and2 squared
Length squared = 8 squared + 6 squared = 64 + 36 = 100
Length = root 100 = 10cm
P rhombus = 10 × 4 = 40
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