ess80
ess80 ess80
  • 29-06-2020
  • Mathematics
contestada

ABCD is rhombus. DC = 5cm, AC = 6cm. Find the length of BD

Respuesta :

PiaDeveau PiaDeveau
  • 04-07-2020

Answer:

BD = 8Cm

Step-by-step explanation:

Given:

DC = 5cm

AC = 6cm.

Find;

BD = ?

Computation:

Rhombus's diagonal bisect each other at 90°

Using Pythagoras theorem

OD = [tex]\sqrt{AD^2-OA^2}[/tex]

OD = [tex]\sqrt{5^2-3^2}[/tex]

OD = 4 CM

So, BD = 2(OD)

BD = 2(4)

BD = 8Cm

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