Question

The diagonal of a rhombus is 552 and its perimeter is 104 cm find the length and side of a diagonal

Answer 1

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The diagonal of the rhombus should be 5:12 not 552

Diagonal of rhombus intersect each other equally at 90 degree.

Considering ABCD is rhombus, AC and BD are diagonal intersect at E.

AE:EB = AC:BD will be 5:12

5x and 12x

Perimeter = 104 mm so side = 26

Due to right angle, Pythagoras theorem applies

5x^2 + 12x^2 = 26^2

169x^2 = 676

x^2 = 676/169

x^2 = 4

x = 2

So diagonal length will be 2*5*2 and 2*12*2

20, 48 cm

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