mimamguliyev mimamguliyev

22-12-2021
Mathematics

contestada

Find the side of a rhombus if its diagonals are 14 and 48
(Use Pythagorean theorem)

Respuesta :

Аноним Аноним

27-12-2021

Answer:

25

Step-by-step explanation:

Let,

Rhombus = ABCD

Diagonal = AC and BD

Mark its centre as O

Now,

AC = 2AO

AO = AC/2

AO = 48/2

AO = 24 cm

Also,

BD = 2BO

BO = BD/2

BO = 14/2

BO = 7 cm²

Now,

In ∆AOB

AB² = AO² + BO²

Here, AB is the side

AB² = (24)² + (7)²

AB² = 576 + 49

AB² = 625

AB = √(625)

AB = 25

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