lucovicidiana21
lucovicidiana21 lucovicidiana21
  • 08-12-2020
  • Mathematics
contestada

If the length of the hypotenuse is 10 m and its base leg is 6 m, what is the length of
its remaining leg?
1. a = 12 m
2.a = 8 m
3.a = 9 m
4.a = 10 m

Respuesta :

Eddie1Wan
Eddie1Wan Eddie1Wan
  • 08-12-2020

Answer:

a=8m

Step-by-step explanation:

a²+b²=c²

where a= 6m,c=10m

6²+b²=10²

b²=100-36

b²=64

b=√64=8

Answer Link
goodLizard
goodLizard goodLizard
  • 08-12-2020

Answer:

2. [tex]a=8[/tex] m

Step-by-step explanation:

Let [tex]a[/tex] = length of the remaining leg

[tex]6^2+a^2=10^2[/tex] (using the Pythagorean theorem)

[tex]36+a^2=100[/tex]

[tex]a^2=64[/tex]

[tex]a=\sqrt{64}[/tex]

[tex]=8[/tex] m

∴ The length of the remaining leg is [tex]8[/tex] m.

Hope this helps :)

Answer Link

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