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quester [9]
3 years ago
9

Find the length of the leg. If your answer is not an integer, leave it in simplest radical form.

Mathematics
2 answers:
Afina-wow [57]3 years ago
8 0

both sides will be 12√2

About 45 degrees

elixir [45]3 years ago
7 0

Answer:

Both the sides of the triangle are 12√2

Step-by-step explanation:

The given triangle is a right angle triangle having on acute angle = 45°

Since it a right angle triangle so other angle will be same as 45°.

therefore opposite sides of these angles will be same.

Now we apply the sine rule in the given triangle

sin45=\frac{x}{24}

x = 24×sin 45 = 24.\frac{1}{\sqrt{2} }=\frac{24}{\sqrt{2} }

Now to convert this value in radical form we have to multiply numerator and denominator by √2.

x=\frac{24}{\sqrt{2}}.\frac{\sqrt{2} }{\sqrt{2} }=\frac{24\sqrt{2} }{2}=12\sqrt{2}

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