In triangle DEF, find the missing side as an exact value:
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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]