Rosebud6994 Rosebud6994
  • 25-03-2020
  • Mathematics
contestada

triangles ABC and ACD are right triangles. AB is 28 meters long. AC is 21 meters long. Find the lengths of BC and AD.​

Respuesta :

preety89 preety89
  • 28-03-2020

Answer:

The length of BC = 18.52 m & AD = 28 m.

Step-by-step explanation:

Since Δ ABC & ΔACD are the right angles.

So BC = CD

From Δ ABC  

[tex]AB^{2} = AC^{2} + BC^{2}[/tex]

[tex]28^{2} = 21^{2} + x^{2}[/tex]

[tex]x^{2} = 784 - 441[/tex]

x = 18.52 m

Thus BC = x = 1852 m

CD = BC = 18.52 m

Now from the ΔACD

[tex]AD^{2} = AC^{2} + CD^{2}[/tex]

[tex]AD^{2} = 21^{2} + 18.52^{2}[/tex]

AD = [tex]\sqrt{784}[/tex]

AD = 28 m

Therefore the length of BC = 18.52 m & AD = 28 m.

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