Question

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

Answer 1

both sides will be 12√2

About 45 degrees

Answer 2

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.

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