the diagonals of a rhombus are 16 cm and 12cm. find its length

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04-11-2021
Mathematics

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the diagonals of a rhombus are 16 cm and 12cm. find its length

Sagot :

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TheCalousidn TheCalousidn · Answer 1 · 2021-11-04T06:36:04-04:00

Answer:

l=10 cm

Step-by-step explanation:

In a rhombus, the diagonals are cut into identical lines at the intersection.

This way, I found the measures of the halves of the diagonals in a right triangle, knowing that the diagonals of the rhombus are perpendicular on each other.

I calculated that AO = AC/2= 8, and that BO=BD/2= 6, and then I applied pytagora's theorem in a quarter of the rhombus, which is the right triangle AOB, to find the length of a side

Sagot :

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