Question

The hypotenuse of a 4545-90- triangle has a length of 10 units what is the length of one of its legs

Answer 1

5 sq. 2

Explanation:

Answer 2

5
`√(2)`

Explanation:

This is a right isosceles triangle with legs of same length

let x be the length of a leg then

sin45° =
`(opposite)/(hypotenuse)` =
`(x)/(10)`

multiply both sides by 10

x = 10sin45° = 10 ×
`(√(2) )/(2)` = 5
`√(2)` ← exact length