Question

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Answer 1

The length of one leg of the right triangle is 5√10

How to find the leg of a right triangle?

The leg of a right triangle can be found as follows;

Therefore, using trigonometric ratios,

sin 45 = opposite / hypotenuse

sin 45 = x / 10√5

1 / √2 = x / 10√5

cross multiply

10√5 = x√2

divide both sides by √2

x = 10√5 / √2

x = 10√5 / √2 × √2 / √2

x = 10√10 / 2 = 5√10

learn more on right triangle here: brainly.com/question/3398476

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