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Klio2033 [76]
3 years ago
9

In triangle DEF. DF = 16 and m<F = 45Find the length of a leg. Leave your answer in simplest radical form.

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0
I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle  = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
 hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
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