hussabd hussabd
  • 15-05-2021
  • Mathematics
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In triangle DEF, find the missing side as an exact value:

In triangle DEF find the missing side as an exact value class=

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reinhard10158
reinhard10158 reinhard10158
  • 15-05-2021

Answer:

8.60

Step-by-step explanation:

the diagram is optically misleading.

how can the 5 side be longer than the 7 side ?

but ignore that.

the important thing is that this is a triangle with a 90 degree angle.

so, we use Pythagoras' formula : a^2 + b^2 = c^2

we know a and b as 7 and 5.

so, the equation is 7^2 + 5^2 = c^2

=> 49 + 25 = c^2

=> 74 = c^2

=> the missing side length c is

[tex] \sqrt{74} = 8.60[/tex]

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