7. Diagonals UK and HS of a rhombus HUSK are of the length 10 cm and 24 cm.find its sides
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Step-by-step explanation:
Diagonals meet at the centre and forms right-angled triangles.
So by using pythagoras theorem ,
Length of the base = 10/2 = 5cm
Length of the height = 24/2 = 12cm
Hypotenuse² = side² + side²
Hypotenuse² = 5² + 12²
Hypotenuse² = 25 + 144
Hypotenuse² = 169
On taking square root we get,
Hypotenuse = 13 { 13 X 13=169 => √169=13}
Hence the side of the rhombus is 13cm.
Perimeter of the rhombus = 4×side
= 4 × 13
= 52cm.
Therefore, the perimeter of the rhombus is 52cm.
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