Question

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

Question 8 options:

24

288

Answer 1

both sides will be 12√2

About 45 degrees

Answer 2

Both the sides of the triangle are 12√2

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=(x)/(24)`

x = 24×sin 45 =
`24.(1)/(√(2) )=(24)/(√(2) )`

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

`x=(24)/(√(2)).(√(2) )/(√(2) )=(24√(2) )/(2)=12√(2)`