Nekomancer9246 Nekomancer9246
  • 25-07-2021
  • Mathematics
contestada

In this truss bridge, AAOB ABDC. AO=5 meters, BD=10 meters, AB=5 meters. What is the length of BC? A. 5 m B. 8 m C. 10 m D. 15 m

Respuesta :

erinna erinna
  • 26-07-2021

Consider [tex]\Delta AOB\cong \Delta BDC[/tex].

Given:

[tex]\Delta AOB\cong \Delta BDC, AO=5\ m,BD=10\ m, AB=5\ m.[/tex]

To find:

The length of BC.

Solution:

We have,

[tex]\Delta AOB\cong \Delta BDC[/tex]

We know that the corresponding parts of congruent triangles are congruent (CPCTC).

[tex]AB=BC[/tex]                   (CPCTC)

[tex]5\ m=BC[/tex]

The length of BC is 5 m. Therefore, the correct option is A.

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